6. A can do a piece of work in 40 days and B can do the same work in 60
days. Working together, in how many days will they complete the work?
Question
7. Working together, Rajeev and Vikram can complete a piece of work in 48
days. Rajeev can complete the work alone in 64 days. Both of them
worked together for 30 days and then Rajeev left. How long will Vikram
take to complete the remaining work?
Question
8. A can do a piece of work in 10 days, B in 12 days and C in 15 days.
They all start the work together, but A leaves the work after 2 days and
B leaves 3 days before the work is completed. How many days did the
work last?
Hint: C works alone for the last three days.
Question
11. Two taps A and B can fill a cistern in 42 and 56 minutes respectively.
If both the taps are opened together, then find the time taken to fill the
cistern.
Question
12. Two taps A and B can fill a cistern in 10 and 15 minutes respectively.
Both the taps are opened together but at the end of 3 minutes, tap B is
turned off. In how much time will the cistern be filled?
Question
13. A cistern is fitted with three taps, namely P, Q and R. P and Q can fill
a cistern in 10 and 15 minutes respectively whereas R (emptying tap
fitted at the bottom of the cistern) can empty it in 12 minutes. If all the
three pipes are kept open, in how much time will the cistern be filled?
Question
14. A cistern generally takes 20 minutes to be filled by a pipe, but due to a
leak, it takes 10 extra minutes to get filled. Find the time in which the
leak alone can empty the cistern filled with water.
Question
17. 12 men can dig a well in 15 days, working 8 hours a day. How many
days will 18 men require to dig a similar well working for 5 hours a
day?
Formula:
Question
Solve Using Chain Rule:
Men Days Hours
18. 30 workers can make 24 tables in 21 days, working 8 hours a day. If
35 workers want to make 18 such tables in 12 days, how many hours
should they work every day?
Formula:
Question
Solve Using Chain Rule:
Workers Days Hours Tables
19. If 9 friends can eat 9 ice creams in 9 minutes, how long will 15 friends
take to eat 15 such ice creams?
Formula:
Question
Solve Using Chain Rule:
Friends Ice cream Minutes
20. A mess has provisions for 360 men for 70 days. If the number of men
increases by 90, for how many days will the provisions last?
Formula:
Question
Solve Using Chain Rule:
Men Days
21. 12 boys and 16 girls can do a piece of work in 10 days while 13 boys
and 24 girls can do the same work in 8 days. Find the time taken by 15
boys and 20 girls to do the same work.
Question
26. A can complete a piece of work in 30 days. B can complete the same
work in 40 days. If they complete the work together and earn Rs. 350
for the job, find A’s share.
Question
27. A can do a piece of work in 25 days and B can do it in 20 days. They
work together for 5 days and then A quits. B completes the remaining
work. If they are paid Rs. 750 for the job, find B’s share.
Question
28. A and B can do a work in 20 and 30 days respectively. If both of them
working along with C can finish the work in 8 days, then find C’s share
in the total wage of Rs. 1200.
Question
29. In the question discussed earlier, “12 boys and 16 girls can do a piece of
work in 10 days while 13 boys and 24 girls can do the same work in 8
days. Find the time taken by 15 boys and 20 girlsto do the same work.”,
if the group is paid Rs. 40,000 for the task, what will be the wage paid
to each boy and girl per day?
Question
31. A certain number of men can finish a job in 90 days. If there were 16
more men, the work could have been completed 18 days earlier. How
many men were there initially?
A)
B)
C)
D)
108
64
80
48
Question
32. 12 men can build a wall 100 metres long, 3 metres high and 0.5 meter
thick in 25 days. In how many days will 20 men build a wall 60 metres
long, 4 metres high and 0.25 metres thick?
A)
B)
C)
D)
3 days
12 days
6 days
8 days
Question
33. A man works twice as fast as a woman. A woman works twice as fast as
a child. If 16 men can complete a job in 12 days, then how many days
would be required for 32 women and 64 children together to complete
the same job?
A)
B)
C)
D)
2 days
12 days
3 days
6 days
Question
34. To complete a task in 45 days, a contractor employs 45 people. Upon
reviewing the work after 30 days, he notices that only half of the task is
complete. In order to complete the work in 45 days, how many extra
people must he employ now?
A)
B)
C)
D)
90
15
60
45
Question
35. To complete a task, two men work on the first day, three men on the
second day and so on, till it gets completed. If the same work can be
completed by 9 men working for 15 days, in how many days will the
work be completed in the earlier case?
A)
B)
C)
D)
15 days
16 days
14 days
17 days
Question
36. 4 men and 4 women can build a room in 5 days. 7 men and 2 women
will take 4 days to complete the same piece of work. How many days
will 6 men and 1 woman take to complete twice the job?
A)
B)
C)
D)
10 days
20 days
5 days
None of these
Question
37. If 3 men or 4 women can reap a field in 43 days, how long will 7 men
and 5 women take to reap it?
A)
B)
C)
D)
12 days
1days
6 days
8 days
Question
38. A is thrice as good as a work man B. If together they can complete a
task in 12 days, in how many days can A alone complete it?
A)
B)
C)
D)
48 days
16 days
24 days
None of these
Question
39. Rajeev takes one hour to arrange 96 books. Sanjeev takes one and a
half hour to arrange the same number of books. Working together, how
many hours will they take to arrange 4000 books?
A)
B)
C)
D)
202/3
hours
311/4
hours
411/3
hours
25 hours
Question
40. Anil, Benny and Cyril work for a ship building company. Anil can build a
ship in 10 days while Benny can build the same ship in 8 days. Working
together, all three of them can build a similar ship in 4 days. In how
many days can Cyril alone build it?
A)
B)
C)
D)
20 days
80 days
40 days
None of these
Question
41. A and B can do a piece of work in 30 days. B and C can do it in 37.5
days. C and A can do it in 50 days. In how many days will they finish,
if A, B and C work together?
A)
B)
C)
D)
25days
15days
10days
None of these
Question
42. A, working alone can make a cabinet in 12 days. B will take 6 days more
than A to do the same work. A and B along with the help of C completes
it in 5 days. If they are paid Rs. 9000 for the job, find C’s share.
A)
B)
C)
D)
Rs. 2750
Rs. 2500
Rs. 2250
None of these
Question
43. Two taps X and Y can fill a cistern in 32 and 40 minutes respectively.
Both the taps are opened into the empty cisterns and after some time
tap X is closed. Tap Y alone fills the remaining portion of the cistern.
If it took 25 minutes to fill the tank, for how much time was tap X kept
open?
A)
B)
C)
D)
13 min
25 min
12 min
None of these
Question
44. Taps X and Y can fill a tank in 30 and 40 minutes respectively. Tap Z
can empty the filled tank in 60 minutes. If all the three taps are kept
open for one minute each, how much time will the taps take to fill the
tank?
A)
B)
C)
D)
48 min
72 min
24 min
None of these
Question
45. A booster pump can be used for filling as well as emptying a tank of
capacity 2400 m3
. The emptying capacity of the pump is 10 m3
per minute higher than its filling capacity and the pump needs 8
minutes lesser to empty the tank than it need to fill it. What is the filling
capacity of the tank?
A)
B)
C)
D)
20m3
per minute
60m3
per minute
40m3
per minute
50m3
per minute
Question
46. A tap requires 18 hours to fill a tank. On a particular day, it was noticed
that 18 hours after the tap was turned open, the tank was not filled due
to leak at the bottom of the tank. The leak was plugged and it took the
tap 3 more hours to fill the tank. Working alone, how long will the leak
take to empty the tank?
A)
B)
C)
D)
3 hrs
108 hrs
72 hrs
None of these
Question
48. National Publishing Company has numerous typists working with them.
All of them can type at the same rate. If 28 such typists require 28
minutes to type 28 lines, how many lines can 84 typists type in 84
minutes?
A)
B)
C)
D)
84 lines
28 lines
252 lines
None of these
Question
49. A cistern has a leak that can empty it in 8 hours. An inlet pipe with a
capacity of 60 litres per hour is turned on. When the leak and the inlet
tap are turned on, the cistern filled with water is emptied in 12 hours.
What is the capacity of the cistern?
A)
B)
C)
D)
720 litres
360 litres
2880 litres
1440 litres
Question
50. Amar can finish a piece of work alone in 12 days. Atul alone can finish
the same work in 24 days. If both of them work together, then in how
many days the work will be finished?
A)
B)
C)
D)
5 days
8 days
12 days
4 days
Question
51. Ram and Shyam together can finish a piece of work in 8 days. Both
started the work together. After 3 days, Ram fell ill. Shyam alone
finished the remaining work in 15 days. How many days would Ram
take to finish the work alone?
A)
B)
C)
D)
12 days
24 days
8 days
6 days
Question
52. A and B can do a piece of work in 24 days. B and C can do the same
work in 30 days. C and A can do the same work in 40 days. If all the
three of them work together, how long will they take to complete the
work?
A)
B)
C)
D)
20 days
10 days
40 days
None of these
Question
53. Working alone, A and B can complete a work in 10 and 15 days
respectively. If they work together, in how many days will the work be
completed? If they received Rs. 300 as payment, then what is A’s share?
A)
B)
C)
D)
6 days, Rs. 120
12 days, Rs. 180
6 days, Rs. 180
None of these
Question
54. 4 men of equal efficiencies can finish a piece of work by working 10
hours a day in 7 days. How many men will be required to finish the
same work, if they work 3.5 hours a day and the work is to be
completed in 10 days?
A)
B)
C)
D)
16
18
12
8
Question
55. A certain number of men can finish a piece of work in 60 days. If there
were 8 men more, the work could be finished in 10 days less. Find the
original number of men.
A)
B)
C)
D)
50
40
32
48
Question
56. If an inlet pipe can fill a tank in 4 hours and an outlet pipe can empty
the full tank in 5 hours, then what is the portion of the tank filled in 1
hour if both the pipes are kept open?
A)
B)
C)
D)
1/20 of the tank
1/30 of the tank
1/15 of the tank
None of these
Question
57. Two pipes A and B can fill a cistern in 12 and 15 hours respectively,
while working alone. If both the pipes are opened together, then find
the time taken to fill the cistern.
A)
B)
C)
D)
6 hrs
6 hrs
8 hrs
None of these
Question
58. A cistern has a leak that can empty it in 4 hours. A pipe that admits 20
litres of water per hour into the cistern is turned on and now the cistern
is emptied in 6 hours. What is the capacity of the cistern?
A)
B)
C)
D)
360 litres
180 litres
240 litres
120 litres
Question
59. Two pipes A and B can fill a cistern in 12 and 16 minutes respectively.
Both the pipes are opened together, but 2 minutes before the cistern is
filled, pipe A is closed. How much time will the cistern take to fill?
A)
B)
C)
D)
6 min
14 min
8 min
None of these
Question
60. A and B working separately can finish a work in 12 and 18 days
respectively. If they work together for 5 days, and then A goes away, in
how many days will B complete the remaining work?
A)
B)
C)
D)
5 days
6.5 days
6 days
5.5 days
Question
61. A working alone can finish a job in 18 days and B alone can do it in 15
days. If A starts the work alone and is joined by B after 7 days, then the
time taken by them to complete the work is
A)
B)
C)
D)
11 days
5 days
7 days
None of these
Question
62. Anil and Raju can work together and finish a work in 10 days. They work
together on it for 1 day and then Raju quits. The rest of the work was
done by Anil alone in 15 days. In how much time can Raju do the work
alone?
A)
B)
C)
D)
22.5 days
25 days
20 days
50 days
Question
63. Ram can paint his house in 30 days, while Mohan can do the same work
in 50 days. Mohan worked for 15 days. How many more days will be
required by Ram to finish the remaining work?
A)
B)
C)
D)
35 days
36 days
15 days
21 days
Question
64. Gopal can make a model of a building in 10 days and Ravi can break the
model in 20 days. If they both perform their job together, then in how
many days will Gopal be able to finish the work?
A)
B)
C)
D)
20 days
10 days
40 days
None of these
Question
65. Mahesh and Umesh can complete a work in 10 and 15 days
respectively. Umesh starts the work and after 5 days, Mahesh joins him.
In all, in how many days the work would be completed?
A)
B)
C)
D)
9 days
7 days
5 days
None of these
Question
66. A can do a piece of work in 12 days. B is 60% more efficient than A. The
number of days, B would take to do the same piece of work is
A)
B)
C)
D)
30 days
7.5 days
5 days
6 days
Question
67. A can complete a work in 6 days and B in 5 days. If they work together
and receive Rs. 220 on completing a work, B’s share would be
A)
B)
C)
D)
Rs. 120
Rs. 110
Rs. 100
Rs. 90
Question
68. A alone can complete a job in 14 days. He is twice as fast as B and B is
twice as fast as C. If all of them work together, then in how many days
would the job get completed?
A)
B)
C)
D)
4 days
6 days
8 days
None of these
Question
69. 12 men can complete a piece of work in 9 days. After 3 days, 6 men
joined to replace 2 men. How many days would be required to complete
the remaining work?
A)
B)
C)
D)
4 days
6 days
4 days
4 days
Question
70. A, B and C can do a piece of work in 20, 20 and 40 days respectively.
They began the work together but C left 2.5 days before the completion
of work. In how many days would the work have been completed?
A)
B)
C)
D)
8.5 days
7.5 days
6 days
None of these
Question
71. A certain number of men can finish a piece of work in 100 days. If,
however, there are 10 men less, it would take 10 days more for the work
to finish. How many men were there initially?
A)
B)
C)
D)
110
90
100
None of these
Question
72. Three pipes A, B and C can fill a cistern in 15, 20 and 30 minutes
respectively. They were all turned on at the same time. After 5 minutes,
the first two pipes were turned off. In what time will the cistern be
filled?
A)
B)
C)
D)
7.5 minutes
5 minutes
13 minutes
12.5 minutes
Question
73. Three taps A, B and C can fill a cistern in 12, 15 and 40 minutes
respectively. They are all turned on but after 4 minutes A and C are
turned off. How many more minutes will B take to fill the cistern?
A)
B)
C)
D)
8.5 min
4.5 min
4 min
8 min
Question
74. Two girls Swathi and Priya can do a work in 8 hours and 12 hours
respectively. If they work on alternative hours starting with Swathi at 10
a.m., when will the work be finished?
A)
B)
C)
D)
7.30 p.m.
7.20 p.m.
7 p.m.
2.30 p.m.
Question
75. In a school, one third of the maths syllabus of 10th class is completed in
the first 6 months, with a one hour period every day. If the whole
syllabus has to be completed in 9 months, then what should be the
duration of the period in the last 3 months?
A)
B)
C)
D)
2 hrs
3 hrs
2.5 hrs
4 hrs
Question
76. 10 men can dig a 25 feet deep well in 8 days. After 2 days, a fifth of the
portion dug is filled due to rain. How many more days will the same
men take to dig it completely?
A)
B)
C)
D)
1/5 days
1/4 days
2/5 days
3/5 days
Question
77. A work is completed such that on the nth day from the start, n men join
the work force. If one man started the work on the first day and the
work is completed in a total of 11 days, then find the number of days in
which 11 men working together finish the work?
A)
B)
C)
D)
23 days
11 days
26 days
6 days
Question
79. 3 men or 5 women can do a job in 12 days. How long will 6 men and 5
women take to finish the job?
A)
B)
C)
D)
5 days
4 days
12 days
8 days
Question
80. Three pipes A, B and C can fill a tank in 12, 15 and 20 hoursrespectively.
Find the time taken to fill the tank, if pipe C is kept open all the time and
pipes A and B are opened for one hour each alternatively starting with
A.
A)
B)
C)
D)
8 hours
2 hours
4 hours
6 hours
Question
81. A farmer has sufficient fodder to feed 150 cows for 16 days. How many
more days would the fodder last if he had 30 cows less?
A)
B)
C)
D)
20
12
4
None of these
Question
82. 15 men work for 21 days for 8 hours every day to complete a piece of
work. In how many days of 6 hours each would 21 women be able to
complete the same work (3 women do as much work as 2 men)?
A)
B)
C)
D)
45 days
15 days
30 days
20 days
Question
83. Three pipes with uniform rate of flow fill a tank. The first two pipes
operating simultaneously fill the tank in the same time during which
the tank can be filled by the third pipe alone. The second pipe fills the
tank 5 hours faster than the first pipe and 4 hours slower than the third
pipe. Find the time required by first pipe.
A)
B)
C)
D)
12 hours
15 hours
9 hours
20 hours
Question
84. A sum of money is sufficient to pay Sachin’s salary for 45 days and Kale’s
salary for 60 days. For how many days will the sum of money be enough
to pay the salaries of both?
A)
B)
C)
D)
25 days
25 days
15 days
None of these
Question
85. Four men and three women can do a job in 6 days. When five men and
six women work on the same job, the work gets completed in 4 days.
How long will a woman alone take to do the job?
A)
B)
C)
D)
18 days
36 days
54 days
None of these
Question
86. A cashier in a bank can count 100 notes of Rs. 100 denomination in one
minute. A counting machine can do the same job in 20 seconds. If they
work together, how long does it take to count 100 notes?
A)
B)
C)
D)
15 s
16 s
14 s
12 s
Question
87. A and B together can do a piece of work in 12 days. B and C together
can do the same in 15 days. If A is twice as fast as C, in how much time
would B alone complete the work?
A)
B)
C)
D)
60 days
30 days
15 days
20 days
Question
88. Suresh working alone can audit the company’s accounts in 12 days,
while Prakash working alone takes 3 more days than Suresh to
complete the same task. Suresh and Prakash undertook the job for Rs.
10,800. With the help of Vinod, they finished it in 5 days. How much is
paid to Vinod?
A)
B)
C)
D)
Rs. 4,500
Rs. 2,700
Rs. 8,100
Rs. 4,200
Question
