10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

Options:
A.     6    B.     15
C.     7    D.      12 


Answer:   C

Explanation: 

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work? 

Options:
A.      5     5 /11     B.      5     6 /11    
C.      6     5 11     D.      6     6 /11


Answer: A

Explanation: 

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

Options:
A.     60    B.     30
C.     44    D.     40


Answer: A

Explanation: 

A 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

 A 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

Options:
A.     45    B.     30
C.     25    D.     40


Answer:  D

Explanation: 

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

Options:
A. 6.5    B. 5     1/ 2    C.  6    D.7.5




Answer: C

Explanation: 

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

Options:
A.     10:40 A.M.    B.     1:22 p.m.
C.     11:20 P.M.    D.     1:00 P.M.


Answer:  D

Explanation: 

 

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

Options:
A.     23 days        B.     37 days    C.    D.37.5      40 days




Answer: C


Explanation: 

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

 A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

Options:
A.     25 days        B.     10 days
C.     5 days           D.     34 days


Answer:  A

Explanation: 

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

 A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

Options:
A.     12 hours        B.     15 hours
C.     9 hours            D.     19 hours


Answer:  A

Explanation: 

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

Options:
A.     4 days    B.     11 days
C.     5 days    D.     6 days


Answer:  A

Explanation: 

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

Options:
A.     Rs. 325    B.     Rs. 400
C.     Rs. 200    D.     Rs. 450




Answer:B

Explanation:

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in: 

Options:
A. 20 days     B. 22.5    C. 25 days   D. 30 days




Answer:  B

Explanation: 

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? 

Options:
A.     14 days    B.     15 days
C.     18 days    D.     19 days


Answer:  B

Explanation: 

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

Options:
A. 9  1/5    B. 9  3/4    C. 9  3/5    D.11


Answer:  C

Explanation: 

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

Options:
A. 1/6  B.1/8  C.1/10  D. 8/15 


Answer: D

Explanation:

Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

Options:
A.     2 : 3    B.     4 : 3
C.     6 : 7    D.     9 : 16


Answer:  B

Explanation: 

Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

Options:
A.     10 a.m.           B.     10 a.m.
C.     9.39 a.m.        D.     12 a.m.


Answer:  B

Explanation: 

A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

 A train traveling at 48 kmph completely crosses another train having half its length and traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

Options:
A.     400 m    B.     504 m
C.     430 m    D.     570 m


Answer: A

Explanation: 

A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

Options:
A.     88 km/hr    B.     59 km/hr
C.     44 km/hr    D.     81 km/hr


Answer:  D

Explanation: 

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

Options:
A.     34 m    B.     50 m
C.     36 m    D.     77 m


Answer:  B

Explanation: 

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

 A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

Options:
A.     48 km/hr    B.     54 km/hr
C.     66 km/hr    D.     82 km/hr


Answer: D

Explanation: 

Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?

 Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other traveling in opposite direction?

Options:
A.     11    B.     12
C.     9     D.     22


Answer:  B

Explanation: 

Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:

 Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:

Options:
A.     14    B.     38
C.     36    D.     12


Answer:   C

Explanation: 

Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

 Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

Options:
A.     17 sec    B.     24 sec
C.     43sec    D.     53 sec


Answer:  B

Explanation: 

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

Options:
A.    42     B.     30
C.     30    D.     33


Answer: B

Explanation:

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Options:
A.     59.5 km/hr    B.     75 km/hr
C.     89 km/hr    D.     79.2 km/hr


Answer:  D

Explanation: 

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

Options:
A.     150 m    B.     150 m
C.     100 m    D.     175 m


Answer:  B

Explanation: 

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

Options:
A.     380 m    B.     350 m
C.     610 m    D.     425 m


Answer: B

Explanation: 

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

A train 800 meters long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

Options:
A.     120    B.     370
C.     500    D.     240


Answer:  C

Explanation: 

A train travelling at a speed of 75 mph enters a tunnel 31/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A train traveling at a speed of 75 mph enters a tunnel 31/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

Options:
A.     2.1 min    B.     3 min
C.     3.5 min    D.     3.9 min


Answer:  B

Explanation: 

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

Options:
A.     5 sec    B.     6 sec
C.     7 sec    D.     10 sec


Answer:   B

Explanation: 

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

Options:
A.     9    B.     9.6
C.     10    D.     10.8


Answer: D

Explanation: 

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

Options:
A.     30 km/hr    B.     45 km/hr
C.     60 km/hr    D.     75 km/hr


Answer:  C

Explanation: 

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

Options:
A.     230 m    B.     240 m
C.     260 m    D.     270 m


Answer: D

Explanation: 

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

Options:
A.     230 m    B.     240 m
C.     260 m    D.     320 m


Answer:  A

Explanation: 

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

Options:
A.     3.6 sec    B.     18 sec
C.     36 sec    D.     72 sec


Answer: C

Explanation: 

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

Options:
A.     36    B.     45
C.     48    D.     49


Answer:   C

Explanation: 

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

Options:
A.     40 sec    B.     42 sec
C.     45 sec    D.     48 sec


Answer:   A

Explanation: 

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:


Options:
A.     50 m    B.     72 m
C.     80 m    D.     82 m


Answer:  A

Explanation: 

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

 A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

Options:
A.     65 sec    B.     89 sec
C.     100 sec    D.     150 sec


Answer:  B

Explanation: 

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

 A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Options:
A.     120 m    B.     240 m
C.     300 m    D.     None of these


Answer: B

Explanation: 

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:


Options:
A.     1 : 3    B.     3 : 2
C.     3 : 4    D.     None of these


Answer: B

Explanation: 

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

The length of the bridge, which a train 130 metres long and traveling at 45 km/hr can cross in 30 seconds, is: 


Options:
A.     200 m    B.     225 m
C.     245 m    D.     250 m


Answer: C

Explanation: 

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:




Options for this question:
 
A.     45 km/hr    B.     50 km/hr
C.     54 km/hr    D.     55 km/hr

Answer: B

Explanation:

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

options for this question:

A.     120 metres    B.     180 metres
C.     324 metres    D.     150 metres
 
Answer with explination: