TIME AND WORK

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1. P is able to do a piece of work in 15 days and Q can do the same
work in 20 days. If they can work together for 4 days, what is the
fraction of work left?

A. 8/15

B. 7/15

C. 11/15

D. 2/11

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2. P can lay railway track between two stations in 16 days. Q can do
the same job in 12 days. With the help of R, they completes the job in
4 days. How much days does it take for R alone to complete the work?

A. 9(3/5) days

B. 9(1/5) days

C. 9(2/5) days

D. 10 days

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3. P, Q and R can do a work in 20, 30 and 60 days respectively. How
many days does it need to complete the work if P does the work and he
is assisted by Q and R on every third day?

A. 10 days

B. 14 days

C. 15 days

D. 9 days

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4. A is thrice as good as B in work. A is able to finish a job in 60
days less than B. They can finish the work in - days if they work
together.

A. 18 days

B. 22 ½ days

C. 24 days

D. 26 days

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5. A can do a particular work in 6 days . B can do the same work in 8
days. A and B signed to do it for Rs. 3200. They completed the work in
3 days with the help of C. How much is to be paid to C?

A. Rs. 380

B. Rs. 600

C. Rs. 420

D. Rs. 400

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6. 6 men and 8 women can complete a work in 10 days. 26 men and 48
women can finish the same work in 2 days. 15 men and 20 women can do
the same work in - days.

A. 4 days

B. 6 days

C. 2 days

D. 8 days

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7. A can do a piece of work in 4 hours . A and C together can do it in
just 2 hours, while B and C together need 3 hours to finish the same
work. B alone can complete the work in --- hours.

A. 12 hours

B. 6 hours

C. 8 hours

D. 10 hours

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8. P can do a work in the same time in which Q and R together can do
it. If P and Q work together, the work can be completed in 10 days. R
alone needs 50 days to complete the same work. then Q alone can do it
in

A. 30 days

B. 25 days

C. 20 days

D. 15 days

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9. A completes 80% of a work in 20 days. Then B also joins and A and B
together finish the remaining work in 3 days. How long does it need
for B if he alone completes the work?

A. 37 ½ days

B. 22 days

C. 31 days

D. 22 days

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10. 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 the
same in 12 hours. All the machines started printing at 9 A.M. Machine
P is stopped at 11 A.M. and the remaining two machines complete work.
Approximately at what time will the printing of one lakh books be
completed?

A. 3 pm

B. 2 pm

C. 1:00 pm

D. 11 am

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11. P can finish a work in 18 days. Q can finish the same work in 15
days. Q worked for 10 days and left the job. how many days does P
alone need to finish the remaining work?

A. 8

B. 5

C. 4

D. 6

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12. 3 men and 7 women can complete a work in 10 days . But 4 men and 6
women need 8 days to complete the same work . In how many days will 10
women complete the same work?

A. 50

B. 40

C. 30

D. 20

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

A. 60

B. 50

C. 40

D. 30

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14. A can complete a work in 12 days with a working of 8 hours per
day. B can complete the same work in 8 days when working 10 hours a
day. If A and B work together, working 8 hours a day, the work can be
completed in --- days.

A. 5 5⁄11

B. 4 5⁄11

C. 6 4⁄11

D. 6 5⁄11

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15. P is 30% more efficient than Q. P can complete a work in 23 days.
If P and Q work together, how much time will it take to complete the
same work?

A. 9

B. 11

C. 13

D. 15

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16. P, Q and R can complete a work in 24, 6 and 12 days respectively.
The work will be completed in --- days if all of them are working
together.

A. 2

B. 3 3⁄7

C. 4 ¼

D. 5

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17. 10 men can complete a work in 7 days. But 10 women need 14 days to
complete the same work. How many days will 5 men and 10 women need to
complete the work?

A. 5

B. 6

C. 7

D. 8

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18. Kamal will complete work in 20 days. If Suresh is 25% more
efficient than Kamal, he can complete the work in --- days.

A. 14

B. 16

C. 18

D. 20

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19. Anil and Suresh are working on a special assignment. Anil needs 6
hours to type 32 pages on a computer and Suresh needs 5 hours to type
40 pages. If both of them work together on two different computers,
how much time is needed to type an assignment of 110 pages?

A. 7 hour 15 minutes

B. 7 hour 30 minutes

C. 8 hour 15 minutes

D. 8 hour 30 minutes

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20. P and Q can complete a work in 20 days and 12 days respectively. P
alone started the work and Q joined him after 4 days till the
completion of the work. How long did the work last?

A. 5 days

B. 10 days

C. 14 days

D. 22 days

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21. P takes twice as much time as Q or thrice as much time as R to
finish a piece of work. They can finish the work in 2 days if work
together. How much time will Q take to do the work alone?

A. 4

B. 5

C. 6

D. 7

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22. P and Q can complete a work in 15 days and 10 days respectively.
They started the work together and then Q left after 2 days. P alone
completed the remaining work. The work was finished in --- days.

A. 12

B. 16

C. 20

D. 24

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23. P and Q can do a work in 30 days. Q and R can do the same work in
24 days and R and P in 20 days. They started the work together, but Q
and R left after 10 days. How many days more will P take to finish the
work?

A. 10

B. 15

C. 18

D. 22

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24. P works twice as fast as Q. If Q alone can complete a work in 12
days, P and Q can finish the work in --- days

A. 1

B. 2

C. 3

D. 4

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25. A work can be finished in 16 days by twenty women. The same work
can be finished in fifteen days by sixteen men. The ratio between the
capacity of a man and a woman is

A. 1:3

B. 4:3

C. 2:3

D. 2:1

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26. P and Q need 8 days to complete a work. Q and R need 12 days to
complete the same work. But P, Q and R together can finish it in 6
days. How many days will be needed if P and R together do it?

A. 3

B. 8

C. 12

D. 4

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27. P can do a work in 24 days. Q can do the same work in 9 days and R
can do the same in 12 days. Q and R start the work and leave after 3
days. P finishes the remaining work in --- days.

A. 7

B. 8

C. 9

D. 10

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28. If daily wages of a man is double to that of a woman, how many men
should work for 25 days to earn Rs.14400? Given that wages for 40
women for 30 days are Rs.21600.

A. 12

B. 14

C. 16

D. 18

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29. P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600
in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R
can earn per day?

A. Rs.40

B. Rs.70

C. Rs.90

D. Rs.100

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30. Assume that 20 cows and 40 goats can be kept for 10 days for
Rs.460. If the cost of keeping 5 goats is the same as the cost of
keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats
for 12 days?

A. Rs.1104

B. Rs.1000

C. Rs.934

D. Rs.1210

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