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Time & Work

Time and work

1. A completes a work in 12 days whereas B completes the same work in 24 days. If both A and B work together, the work will be completed in ______.

(a) 6 days         (b) 8 days
(c) 10 days       (d) 12 days

2. If 4 men can colour 48m cloth in 2 days, 6 men can colour 36 m cloth in ______.
(a) 3/4 day       (b) 1 day
(c) 1½ days      (d) 2 days

3. If 3 persons do 3 times of a particular work in 3 days, then 7 persons can do 7 times of that work in ______.
(a) 3 days         (b) 5 days
(c) 6 days            (d) 7 days

4. Shaista completes a piece of work in 10 days, Ali completes the same work in 40 days. If they work together, the days required to complete the work will be ______.
(a) 6 days           (b) 8 days
(c) 10 days         (d) 16 days

5. 12 men work 8 hours a day to complete a piece of work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required is ______.
(a) 6               (b) 8
(c) 10             (d) 12

6. Five people undertook a piece of construction work and finished half the job in 15 days. If two people drop out, then the job will be completed in ______.
(a) 10 days         (b) 15 days
(c) 20 days         (d) 25 days

7. Thirty labourers working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, the number of labourers required to finish the same piece of work in 30 days will be ______.
(a) 16            (b) 18
(c) 20           (d) 21

8. If 5 girls can embroider a dress in 9 days, the number of days taken by 3 girls to do the same will be ______.
(a) 12 days        (b) 15 days
(c) 18 days        (d) 20 days

9. A and B together can plough a field in 10 hours, but by himself A requires 15 hours. B alone will plough the same field in ______.
(a) 30 hours       (b) 40 hours
(c) 50 hours           (d) 55 hours

10. If 16 men or 20 women finish a work in 25 days, the same job can be finished by 28 men and 15 women in ______.
(a) 5½ days           (b) 7¾ days
(c) 9 days               (d) 10 days

11. A can do a piece of work in 5 days and B can do the same work in 10 days. They both will complete the work in ______.
(a) 31/3 days        (b) 5 days
(c) 6½ days             (d) 8 days

12. If 12 men can do a piece of work in 24 days, 18 men can do the same work in ______.
(a) 10            (b) 12
(c) 14            (d) 16

13. A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn for the work and the remaining workers did the work in 40 days, the original number of workers was ______.
(a) 14           (b) 16
(c) 18           (d) 20

14. If 8 men or 12 women can do a piece of work in 10 days, the number of days required by 4 men and 4 women to finish the work is ______.
(a) 8             (b) 10
(c) 12          (d) 18

15. If 8 men can dig a well in 18 days, the number of days, 12 men will take to dig the same well will be ______.
(a) 12 days        (b) 14 days
(c) 16 days           (d) 18 days

16. If 39 men repair a road in 12 days working 5 hours a day, 30 men working 6 hours per day will complete the work in ______.
(a) 8 days             (b) 11 days
(c) 13 days         (d) 17 days

17. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. The number of men available initially is ______.
(a) 16           (b) 20
(c) 24         (d) 28

18. A works twice as fast as B. If B can complete a work in 12 days independently. The number of days in which A and B can together finish the work will be ______.

(a) 4 days      (b) 6 days
(c) 8 days         (d) 10 days

Explanation

If B takes 12 days to finish the work, then A takes 6 days to finish the same work.
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
Therefore, the number of days taken by A and B together to finish the same work will be:
= 6 × 12/18= 4 days.

19. A and B can do a piece of work in 4 days. If A can do it alone in 12 days, B will finish the work in ______.
(a) 4 days           (b) 6 days
(c) 8 days           (d) 10 days

20. If 4 men or 6 boys can finish a work in 20 days. 6 men and 11 boys will finish the same work in ______.
(a) 2 days            (b) 3 days
(c) 5 days            (d) 6 days

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