## Quiz- 3 Time & Work

1. Worker A take 16 hours to do a job. Worker B takes 20 hours to do the same job. How long should it take both A and B, working together but independently to do the same job?

(1) 40/9 (2) 80/9 (3) 120/19 (4) 60/13 (5) None of these

2. A can do a piece of work in 3 days, B can do it in 9 days and C can do it in 9/2 days. How long will they take if all the three work together?

(1) 3/2 days (2) 5/2 days (3) 7/3 days (4) 4 days (5) None of these

3. 24 men working 8 hours a day can finish a work in 10 days. Find the number of men required to finish the same work in 6 days working 5 hours a day?

(1) 60 (2) 64 (3) 80 (4) 72 (5) None of these

4. Alok and Kaushik can alone do a holiday assignment in 25 days and 30 days respectively. They work together for 5 days and then Alok leaves due to his illness. Kaushik finishes the rest of the holiday assignment in x days. The value of ‘x’ is:

(1) 20 (2) 19 (3) 24 (4) 16 (5) 2

5. A is 25% more efficient than B and takes 2 days less than B to complete a certain work. Then what time will be taken by both of them working together?

(1) 40/9 days (2) 5 days (3) 6 days (4) 44/9 days (5) None of these

6. X number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is

(1) 6 (2) 10 (3) 12 (4) 15 (5) None of these

7. A takes twice as much as B and thrice as much as C to complete a piece of work. They together complete the work in 1 day. In what time will A alone complete the work?

(1) 9 days (2) 5 days (3) 6 days (4) 4 days (5) None of these

8. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

(1) 18 days (2) 24 days (3) 30 days (4) 36 days (5) None of these

9. Pranav can complete a work in 12 days working 8 hours a day. Sham can complete the same work in 8 days working 12 hours a day. If both Pranav and Sham work together, working 8 hours a day, in how many days can they complete the work?

(1) 5 (2) 6 (3) 8 (4) 10 (5) None of these

10. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

(1) 8 days (2) 10 days (3) 12 days (4) 15 days (5) None of these