Time & Work Worksheet-2

Time & Work Worksheet-2

1. A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days. In what time can A alone do it?

(a) 80 days        (b) 100 days      (c) 120 days      (d) 150 days

2. A and B can do a piece of work in 5 days; B and C can do it in 7 days; A and C can do it in 4 days. Who among these will take the least time if put to do it alone?

(a) A                    (b) B                   (c) C                    (d) Data inadequate

3. 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) 8 hours        (b) 10 hours      (c) 12 hours       (d) 24 hours

4. 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) 15 days         (b) 20 days        (c) 25 days         (d) 30 days

5. 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 is:

(a) 4 days           (b) 6 days          (c) 8 days           (d) 18 days

6. A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is:

(a) 11                   (b) 21                  (c) 28                  (d) 42

7. A is thrice as good a 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) 20 days        (b) days    (c) 25 days         (d) 30 days

8. A and B can do a job together in 7 days. A is times as efficient as B. The same job can be done by A alone in:

(a) days       (b) 11 days         (c) days     (d) days

9. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

(a) 15                  (b) 16                  (c) 18                  (d) 25

10. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

(a) 11 days         (b) 13 days         (c) days  (d) None of these

11. A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?

(a) 30 days        (b) 35 days        (c) 40 days        (d) None of these

12. A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 40 days, then A, B and C together can do the work in:

(a) days     (b) 15 days         (c) 20 days        (d) 30 days

13. Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked as efficiently as he actually did, the work would have been completed in 3 days. A alone could complete the work in:

(a) days      (b) days      (c) days       (d) None of these

14. 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)                   (b)                  (c)                  (d)

15. 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) 5                    (b)                 (c) 6                    (d) 8

Answer Key:

(1)-c; (2)-a; (3)-c; (4)-c; (5)-a; (6)-b; (7)-b; (8)-b; (9)-b; (10)-b; (11)-a; (12)-a; (13)-b; (14)-d; (15)-c