Shortcut and Formula on Time and Work
 Work from Days:
If A can do a piece of work in n days, then A's 1 day's work =
 Days from Work:
If A's 1 day's work = , then A can finish the work in n days.
 Ratio:
If A is thrice as good a workman as B, then:
Ratio of work done by A and B = 3 : 1.
Ratio of times taken by A and B to finish a work = 1 : 3.
 If A is 'x' times as good a workman as B, then he will take of the time by B to do the same work.
 A and B can do a piece of work in 'a' days and 'b' days respectively, then working together, they will take days to finish the work and in one day, they will finish part of work.
Time and Work Previous Year Questions
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Work, Time, Speed and Distance
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Question 1 of 50
1. Question
Mohan can finish a job in 60 days whereas Ram can finish the same job in 20 days. If they work together the job will be over in
Correct
time = 15 days
Incorrect
time = 15 days

Question 2 of 50
2. Question
A can do a piece of work in 20 days and B can do it in 30 days. Time taken by them to finish the job working together is
Correct
time = 12 days
Incorrect
time = 12 days

Question 3 of 50
3. Question
A can type 75 pages in 25 hours. A and B working together can type 135 pages in 27 hours. Time needed by B to type 42 pages is
Correct
A can type 3 pages in 1 hour
A and B can together type 5 pages in 1 hour
B can type 2 pages in an hour
B needs 21 hours to type 42 pages
Incorrect
A can type 3 pages in 1 hour
A and B can together type 5 pages in 1 hour
B can type 2 pages in an hour
B needs 21 hours to type 42 pages

Question 4 of 50
4. Question
A and B working together can do a piece of work in 7 days. B along can do it in 8 days. After working alone on it for 5 days, B leaves the job. The work is taken over by A. The time needed by A to finish the job is
Correct
n = 21
Incorrect
n = 21

Question 5 of 50
5. Question
X can finish a job in 12 days, Y in 18 days and Z in 9 days. If they work together the job will be over in
Correct
time = 4 days
Incorrect
time = 4 days

Question 6 of 50
6. Question
A can dig a well in 10 days, B can dig it in 12 days and C can dig it is 15 days. If all work together the well be dug in
Correct
time = 4 days
Incorrect
time = 4 days

Question 7 of 50
7. Question
A can do a piece of work in 5 days, B in 4 days and A, B and C in 2 days. Time needed by C to complete the job is
Correct
time = 20 days
Incorrect
time = 20 days

Question 8 of 50
8. Question
A and B working together can mow a field in 28 days. With help of C they can finish the job in 21 days. If C works all alone the time needed by him to finish the job is
Correct
time = 84 days
Incorrect
time = 84 days

Question 9 of 50
9. Question
A and B working together can finish a job in 2 days. If B alone can do it in 3 days then A alone can do it in
Correct
time = 6 days
Incorrect
time = 6 days

Question 10 of 50
10. Question
A and B together can do a job in 24 days; B and C together in 18 days; and C and A together in 36 days. If they all work together the job will be over in
Correct
Adding
time = 16 days
Incorrect
Adding
time = 16 days

Question 11 of 50
11. Question
A and B can finish a job in 12 days; B and C in 15 days and C and A in 20 days. Working alone C can finish the job in
Correct
time = 60 days
Incorrect
time = 60 days

Question 12 of 50
12. Question
A can do a job in 24 days. B is 50% more efficient than A. Then B can finish the job in
Correct
B needs half the time
Incorrect
B needs half the time

Question 13 of 50
13. Question
A can do twice as much work as B. If they can together finish the job in 24 days, then working alone A would have finished the job in
Correct
x = 36
Hence A requires 36 days
Incorrect
x = 36
Hence A requires 36 days

Question 14 of 50
14. Question
3 men or 5 women can reap a field in 43 days. Time needed by 5 men and 6 women to do the same is
Correct
Work done by 1 man in 1 day=
Work done by 1 woman in 1 day =
Work done by 5 men and 6 women in 1 day =
Hence work will be over in 15 days.
Incorrect
Work done by 1 man in 1 day=
Work done by 1 woman in 1 day =
Work done by 5 men and 6 women in 1 day =
Hence work will be over in 15 days.

Question 15 of 50
15. Question
If 3 men or 4 women can do a piece of work in 43 days, then time needed by 7 men and 5 women to do the same work is
Correct
Work done by 1 man in 1 day =
Work done by 1 woman in 1 day=
Work done by 7 women and 5 women in 1 day
=
Hence work will be over in 12 days.
Incorrect
Work done by 1 man in 1 day =
Work done by 1 woman in 1 day=
Work done by 7 women and 5 women in 1 day
=
Hence work will be over in 12 days.

Question 16 of 50
16. Question
30 men and 14 boys can reap a field in 121 days. If 3 men do as much work as 5 boys then 20 men and 4 boys will receipt in
Correct
…… (i)
Substituting in (i)
We get
Work done by 20 men and 4 boys in 1 day
=
Hence work will be over in
Incorrect
…… (i)
Substituting in (i)
We get
Work done by 20 men and 4 boys in 1 day
=
Hence work will be over in

Question 17 of 50
17. Question
A takes half as long to do a piece of work as B takes and if C does it in same time as A and B together, and if all three working together will take 7 days to complete the work then B working alone would finish the job in
Correct
x = 42
time = 42 days
Incorrect
x = 42
time = 42 days

Question 18 of 50
18. Question
A can do as much work in 3 days as C in 4 days and B can do as much work in 5 days as C in 6 days. Time needed by B to finish a work which A can finish in 18 days is
Correct
But
b needs 20 days to finish the work
Incorrect
But
b needs 20 days to finish the work

Question 19 of 50
19. Question
A can finish a job in 15 days and B can do it in 10 days. If they work together then A’s share out of total wages of Rs. 2250 is
Correct
A : B =
A’ share =
Incorrect
A : B =
A’ share =

Question 20 of 50
20. Question
A can do a piece of work in 8 days and B can do the same work in 12 days. A and B together Complete the job and get Rs. 200 as combined wages. B’s share in the wage will be
Correct
A:B =
B’s share =
Incorrect
A:B =
B’s share =

Question 21 of 50
21. Question
Two men A and B working together completed a piece of work which would have taken them respectively 12 and 18 days to complete if they had worked separately. They received a payment of Rs. 29,850. Then share of A is
Correct
A : B =
A’ share =
Incorrect
A : B =
A’ share =

Question 22 of 50
22. Question
A, B and C together do a piece of work for Rs. 5350. A working alone could do it in 5 days, B in 6 days and C in 7 days. The share of C is
Correct
A : B : C =
C’s share =
Incorrect
A : B : C =
C’s share =

Question 23 of 50
23. Question
Wages of 45 women amount to Rs. 93150 in 48 days, Daily wage of a man is twice that of a women. The number of men who in 16 days will earn Rs. 34500
Correct
Wages of women days = 93150
Wages of 1 woman day =
Wage of 1 man day =
n = 25
Incorrect
Wages of women days = 93150
Wages of 1 woman day =
Wage of 1 man day =
n = 25

Question 24 of 50
24. Question
A Field can be reaped by 10 women in 4 days or by 6 boys in 10 days or by 2 men in 12 days. 1 man, 3 boys and 2 women are employed. If the daily wages of a man, a woman and a child are Rs. 153, Rs. 93 and Rs. 57 respectively then the total expense of reaping the field is
Correct
=
Work will be over in
Wages =
= Rs.3600
Incorrect
=
Work will be over in
Wages =
= Rs.3600

Question 25 of 50
25. Question
4 men earn as much in a day as 7 women; and 1 woman earns as much in a day as 2 boys. If 6 men, 10 women and 14 boys working together for 8 days earn Rs. 9900 then 8 men and 6 women working together for 10 days will earn
Correct
Incorrect

Question 26 of 50
26. Question
The distance between two stations A and B is 300 km. A train leaves the station A with a speed of 40 km/hr. At the same time another train depart from the station B with a speed of 50 km/h. The time after which these two trains to meet each other is
Correct
Relative speed = 40 + 50 90 km/hr
Distance = 300 km
Time = = 3 hrs 20 minutes.
Incorrect
Relative speed = 40 + 50 90 km/hr
Distance = 300 km
Time = = 3 hrs 20 minutes.

Question 27 of 50
27. Question
A passenger train takes two hours less for a journey of 300 km if its speed is increased by 5 km/hr from its normal speed. The normal speed is
Correct
Let the normal speed by x km/hr
Then, Solving x = 25
Incorrect
Let the normal speed by x km/hr
Then, Solving x = 25

Question 28 of 50
28. Question
The speed of a metro train is 54 km/hr excluding stoppage time and if including stoppage, the speed is 45 km/hr, then for how many minutes does it stop per hour?
Correct
Stoppage time is the time taken to cover a distance of (5445) km at the speed of 54 km/h
54 Km : 60 min = 9 km : x min
Solving x = 10
Incorrect
Stoppage time is the time taken to cover a distance of (5445) km at the speed of 54 km/h
54 Km : 60 min = 9 km : x min
Solving x = 10

Question 29 of 50
29. Question
An express train runs an average speed 100 kmph stopping 3 minutes after 75 km. A local train runs at a speed of 50 kmph, stopping for 1 minute after every 25 km. If the train began running at the same time, how many kilometers did the local train run in the time it took the express train to run 600 km?
Correct
For express train : time to run 600 km = 6hrs. But this also includes 7 stoppages of 3 minutes each. Hence total time = 6 hrs 21 minutes or (381 minutes)
The local train covers 25 km in every 31 minutes.
This mean train has covered
still 9 minutes are left.
The train covers another
Hence total distance travelled = 307.5 km.
Incorrect
For express train : time to run 600 km = 6hrs. But this also includes 7 stoppages of 3 minutes each. Hence total time = 6 hrs 21 minutes or (381 minutes)
The local train covers 25 km in every 31 minutes.
This mean train has covered
still 9 minutes are left.
The train covers another
Hence total distance travelled = 307.5 km.

Question 30 of 50
30. Question
Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 36 km/h. The stoppage time of the bus in minutes is
Correct
Had the bus not stopped it would have covered 18 km more in one hour. So stoppage time is the time needed to cover 18 km at the speed of 54 km/hr
54 km : 60 min = 18 km : x min
X= 20
Incorrect
Had the bus not stopped it would have covered 18 km more in one hour. So stoppage time is the time needed to cover 18 km at the speed of 54 km/hr
54 km : 60 min = 18 km : x min
X= 20

Question 31 of 50
31. Question
An insect climbs up a 10 metre high pole. It climbs up 3 metres in the first minute but step down 2 metres in the second minute again climbs up 3 metres in the third minute and step down 2 metres in the fourth minute and so on. It reaches the top of the pole in
Correct
The insect ascends (32) m or 1 min ever two minutes.
To ascend 7 m the insect needs 14 minutes.
Now in the fifteenth minute he ascends 3 m and reaches the top of the pole.Incorrect
The insect ascends (32) m or 1 min ever two minutes.
To ascend 7 m the insect needs 14 minutes.
Now in the fifteenth minute he ascends 3 m and reaches the top of the pole. 
Question 32 of 50
32. Question
If a man travels at 30 km/hr, then the reaches his destination late by 10 minutes and if he travels at 42 km/hr, then he reaches 10 minutes earlier. Therefore the distance travelled by him is
Correct
Let the distance be x km and the required time be t hrs
Then,
And
Incorrect
Let the distance be x km and the required time be t hrs
Then,
And

Question 33 of 50
33. Question
Which of the following trains is the fastest?
Correct
All options (a), (b) and (c) have equal value. Hence option (d) is correct.
Incorrect
All options (a), (b) and (c) have equal value. Hence option (d) is correct.

Question 34 of 50
34. Question
A Speed of metres/second is the same as
Correct
=
= 120 km/hr.
Incorrect
=
= 120 km/hr.

Question 35 of 50
35. Question
A and B are 25 km apart. If they travel in opposite directions, they meet an hour. If they travel in the same direction, they meet after 5 hours. If A travel faster than B, then the speed of A is
Correct
Let speeds of A and B be x km/hr and y km/hr respectively.
Then, x +y =
And x – y =
Solving: x = 15
Speed of A is 15 km/hr
Incorrect
Let speeds of A and B be x km/hr and y km/hr respectively.
Then, x +y =
And x – y =
Solving: x = 15
Speed of A is 15 km/hr

Question 36 of 50
36. Question
A specific distance (x km) is to be covered in a specific time. If a car runs at a speed of 20 km per hour, then it reaches late by 15 minutes. If its speed is 40 km per hour, then it reaches 15 minutes earlier. The value of x would be
Correct
X = 20
Incorrect
X = 20

Question 37 of 50
37. Question
A twice as fast as B and B is thrice as fast as C is. The journey covered by C in 42 minutes will be covered by A in
Correct
Time for C = 42 min
Time for B = = 14 min
Time for A = = 7 min
Incorrect
Time for C = 42 min
Time for B = = 14 min
Time for A = = 7 min

Question 38 of 50
38. Question
38 When two trains were running in the same direction at 90 km/hr and 70 km/hr respectively, then the faster train passed a man sitting in the slower train in 36 seconds. Find the length of faster train.
Correct
Relative speed = (90 – 70) km/hr = 20 km/hr
=
=
Time = 36 seconds
= 200 m
Incorrect
Relative speed = (90 – 70) km/hr = 20 km/hr
=
=
Time = 36 seconds
= 200 m

Question 39 of 50
39. Question
Two trains, each 120 metres in lengths, run in opposite directions with velocities of 40 m/sec. and 20 m/sec. respectively. How long will it take for the tail end of two trains to meet each other from the time their engines crossed each other?
Correct
Distance = (120 + 120) m
= 240 m
Relative speed = (40 + 20) km/hr = 60 km/hr
=
Time = sec = 14.4 sec
Incorrect
Distance = (120 + 120) m
= 240 m
Relative speed = (40 + 20) km/hr = 60 km/hr
=
Time = sec = 14.4 sec

Question 40 of 50
40. Question
A train speeds past a pole in 15 seconds and speeds past a platform of 100 metres long in 30 seconds. Its length (in metres) is
Correct
Let the length of the train be x m and its speed be s m/sec.
Then (we assume the horizontal length of the pole to be o m)
And
Solving x =100
Length of train is 100 m
Incorrect
Let the length of the train be x m and its speed be s m/sec.
Then (we assume the horizontal length of the pole to be o m)
And
Solving x =100
Length of train is 100 m

Question 41 of 50
41. Question
A train running at the speed of 54 km/hr completely crosses a platform in 20 seconds. If the platforms is 100 m long the length of the train in metres is
Correct
54 km/hr =
Time = 20 sec
Let length of the train be x, then 100 + x =
So length of the train is = 200 m
Incorrect
54 km/hr =
Time = 20 sec
Let length of the train be x, then 100 + x =
So length of the train is = 200 m

Question 42 of 50
42. Question
A train 120 m long completely crosses a platform 55 m long in 10 seconds. Speed of the train in km/h is
Correct
Speed = = 17.5 m/s = 63 km/hr
Incorrect
Speed = = 17.5 m/s = 63 km/hr

Question 43 of 50
43. Question
Two trains 101 m and 99 m long are running in opposite directions along parallel tracks at the speeds of 40 km/hr and 32 km/hr. The time taken by them is completely clear of each other in seconds is
Correct
Relative speed 40 + 32 = 72 km/hr =
Sum of lengths = 200 m so time =
Incorrect
Relative speed 40 + 32 = 72 km/hr =
Sum of lengths = 200 m so time =

Question 44 of 50
44. Question
Two trains are running in opposite directions along parallel tracks at the speeds of 50 km/hr and 40 km/hr take 8 seconds to completely clear off each other. If the faster train is 125 m long, the length of the shorter train in metres is
Correct
Relative speed = 50 + 40 = 90 km/hr =
Let length of the first train be x m, then (125 + x) =
Hence length of the first train = 75 m
Incorrect
Relative speed = 50 + 40 = 90 km/hr =
Let length of the first train be x m, then (125 + x) =
Hence length of the first train = 75 m

Question 45 of 50
45. Question
Two trains 120 m and 160 m long running in opposite direction along parallel tracks took 8 seconds to completely clear off each other. If the speed of one of the trains is 70 km/hr then the speed of the other train in km/hr is
Correct
Sum of lengths = 280 m
Time = 8 seconds
Relative speed = = 35 m/s = 126 km/hr
70 + x = 136
Or x = 56 km/hr
Incorrect
Sum of lengths = 280 m
Time = 8 seconds
Relative speed = = 35 m/s = 126 km/hr
70 + x = 136
Or x = 56 km/hr

Question 46 of 50
46. Question
A steamer goes downstream and covers the distance between two towns in 20 hours. Coming back upstream it takes 5 hours more to do so. If speed of water is 4 km/hr, the distance between the two towns is
Correct
Distance downstream = distance upstream
x = 36
Distance = 800 km
Incorrect
Distance downstream = distance upstream
x = 36
Distance = 800 km

Question 47 of 50
47. Question
A race boat covers 33 km downstream in 55 minutes. To come back to the starting point it takes one hour. Speed of boat in still water is
Correct
Speed of downstream = km/min = 36 km/hr
Speed upstream = 33 km/hr
Speed of boat in still water = km/hr = 34.5 km/hr
Incorrect
Speed of downstream = km/min = 36 km/hr
Speed upstream = 33 km/hr
Speed of boat in still water = km/hr = 34.5 km/hr

Question 48 of 50
48. Question
In one hour a boat goes 11 km along the stream or 5 km against the stream. The speed of the boat in still water (in km/hr) is
Correct
Let speed of boat in still water b x km/hr speed of stream by y km/hr.
Then x + y = 11
And x – y = 5
Solving x = 8
Hence speed of boat in still water = 8 km/hr
Incorrect
Let speed of boat in still water b x km/hr speed of stream by y km/hr.
Then x + y = 11
And x – y = 5
Solving x = 8
Hence speed of boat in still water = 8 km/hr

Question 49 of 50
49. Question
A boat goes 8 km in one hour along the stream and 2 km in one hour against the stream. The speed of the steam (in km/hr) is
Correct
Let speed of boat in still water be x km/hr and speed of stream by y km/hr
Then x + y = 8
And x – y =2
Solving y = 3
Hence speed of stream = 3 km/hr.
Incorrect
Let speed of boat in still water be x km/hr and speed of stream by y km/hr
Then x + y = 8
And x – y =2
Solving y = 3
Hence speed of stream = 3 km/hr.

Question 50 of 50
50. Question
A boat goes 6 km an hour in still water, but it takes thrice as much time in going the same distance against the current. The speed of the current (in km/hr) is
Correct
Let speed of boat in still water = 6 km/hr
Let speed of stream be x km/hr
Time upstream =
6 – x =
x = 3
Hence speed of current is 3 km/hr.
Incorrect
Let speed of boat in still water = 6 km/hr
Let speed of stream be x km/hr
Time upstream =
6 – x =
x = 3
Hence speed of current is 3 km/hr.
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