Time & Work Test 3

1. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but they forced to leave after 3 days. The remaining work was done by A in?

2. A 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 them in 12 hours. All the machines are started at 9 p.m. while machine P is closed at 11 pm and the remaining two ma-chine complete the work. Ap- proximately at what time will thework be finished?

3. 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 after B and C leave. How many days more will A take to finish the work?

4. X and Y can do piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did he work least?

5. A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many day A alone can finish the job?

6. X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

7. A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days A left. Then B and C together completed the work in 10 more days. A alone could complete the work in:

8. A does 4/5 of a work in 20 days. then he calls to B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

9. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finished the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

10. A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finished it in 13 days. In how many days C alone will do the work?

11. A and B can do a piece of work in 45 days and 40 days respectively. They began to the do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:

12. A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is:

13. A, B and C complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed?

14. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half of a day daily, then in how many days A and B together will complete the work ?

15. A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be complete in:

16. A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A assisted by B and C on alternate days?

17. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

18. A and B can separately do a piece of work in 20 and 15 respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in next 4 days, then the number of days in which C alone could do the work will be?

19. A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the work but A left 8 days before the completion of the work while B left 12 days before the completion. The number of days for which C worked is:

20. A can do a piece of work in 8 days, 'B' destory it in 3 days. A does work for 6 days. During the last 2 days of which B has been destroying. How many days must A work alone to complete the work?