Time & work || math trick

TIME & WORK(17.12.2022) 

1. A can finish a piece of work in 12 days. B is 60%more efficient than A. How much time will B take to complete the work?

(a) 6 days (b) 7½ days (c) 8 days(d) 8½ days

2. A can finish the work in 10 days and B can finish the work in 15 days. How many days will the two finish the work together?

(a) 5 days(b) 6 days(c) 8 days(d) 10 days

3. If A and B together complete a work in 15 days and B alone completes the work in 20 days, in how many days will A alone complete the work?

(a) 60 days(b) 45 days(c) 40 days(d) 30 days

4. Tapas works twice as fast as Mihir. If they both can complete a work together in 12 days, in how much time will Tapas complete the work alone?

(a) 15 days(b) 18 days(c) 20 days(d) 24 days

5. A alone can finish a work in 18 days and B alone in 15 days. B leaves the work alone for 10 days. In how many days will A alone finish the remaining work?

(a) 5 days(b) 5½ days(c) 6 days(d) 8 days

6. A can complete 1/2 part of a work in 5 days, B can complete 3/5 of this work in 9 days and C can complete 2/3 of this work in 8 days. How many days will the three complete this work together?

(a) 3 days(b) 4 days(c) 4½ days(d) 5 days

7. A and B together can complete a piece of work in 4 days. B alone can finish the work in 12 days. B alone did the work in 4 days. After that how many days will A alone take to complete the rest of the work?

(a) 3 days(b) 16 days(c) 18 days(d) 20 days

8. A can finish a piece of work in 9 days. If the efficiency of B is 50% more than that of A, in how many days can B complete the work alone?

(a) 3 days(b) 4 ½ days(c) 6 days(d) 131 ½ days

9. A and B together can finish a work in 18 days. B and C can complete the work in 24 days and C and A can complete the work in 36 days. A, B, C together will finish the work in how many days?

(a) 15 days(b) 16 days(c) 17 days(d) 18 days

10. A and B together can finish a piece of work in 8 days. B and C can finish the work in 12 days and C and A can finish the work in 15 days. In how many days will C alone finish the work?

(a) 80 days(b) 120 days(c) 75 days(a) 90 days

11. A can complete a piece of work in B days, B in 20 days and C in 30 days. B and C started work together but left after 2 days. In how many days will A finish the remaining work?

(a) 10 days(b) 12 days(c) 15 days(d) 16 days

12. A, B and C can finish a piece of work in 6 hours, 4 hours and 12 hours respectively. In how many hours will the three complete the work together?

(a) 2 hours(b) 5 hours(c) 6 hours(d) 8 hours

13. A man, a woman, a boy together can complete a work in 3 days. If a man alone completes the work in 6days and a boy alone in 18 days then in how many days will a woman complete the work?

(a) 9 days(b) 21 days(c) 24 days(d) 27 days

14. A man and a boy together can complete a piece of work in 24 days. If the man works alone in the last 6days then the work is completed in 26 days. How long will the boy finish the job alone?

(a) 72 days(b) 20 days(c) 24 days(d) 36 days

15. A completes 7/10th of a piece of work in 15 days.After that he completes the work in 4 days with the help of B. In how many days will A and B complete the entire work together?

(a) 10 ⅓ days(b) 1/15 days(c) 1 day(d) 7/10 days

16. A can finish a piece of work in 4 hours, B and C together in 3 hours and A and C together in 2 hours. In how many days will B alone finish the work?

(a) 10 hours(b) 12 hours(c) 8 hours(d) 24 hours

17. A does half the work in 10 ⅓ time that B does. If both of them finish the work in 10 days, in how many days will B finish the work alone?

(a) 70 days(b) 30 days(c) 40 days(d) 50 days

18. A is three times more efficient than B. So any work can be completed in 60 days less time than B. In how many days can A and B together finish the work?

(a) 22 ½ days(b) 25 days(c) 27 ½ days(d) 30 days

19. A, B, C can finish a piece of work in 36 days, 54 days and 72 days respectively. The three started working together. A left the work 8 days before the completion of the work and B left the work 12 days before the completion of the work. How many days did C work?

(a) 4 days(b) 8 days(c) 12 days(d) 24 days

20. A and B together finish a piece of work in 12 days whereas B and C can finish it in 16 days. First A worked for 5 days, then B worked for 7 days and C completed the remaining work in 13 days. In how many days will C alone complete the work?

(a) 16 days(b) 24 days(c) 36 days(d) 48 days

21. A alone can complete a work in 10 days, whereas B alone can complete the work in 15 days. If they work in stages and A starts work, how many days will it take to complete the work?

(a) 6 days(b) 12 days(c) 13 days(d) 18 days

22. A. alone can finish a work in 16 days and B alone can finish the work in 12 days. If A starts the work and they work in stages, in how many days will the entire work be completed?

(a) 12 days(b) 13 days(c) 13 ¾ days(d) 13 5/7 days

23. A, B, C can finish a piece of work in 11 days, 20 days and 55 days respectively. If A is followed by B one day and C the next day, the stages are worked sequentially, how long will it take to complete the work?

(a) 7 days(b) 8 days(c) 9 days(d) 10 days

24. A, B, C do a job in 20 days, 30 days and 60 days respectively. can finish If A works everyday and every third day B and C work with A, in how many days will the work be completed?

(a) 12 days(b) 15 days(c) 16 days(d) 18 days

25. A alone can finish a piece of work in 12 days and B alone in 18 days. Both started the work together but A left the work 3 days before completion of the work. In how many days was the entire work completed?

(a) 6⅗ days(b) 9 days(c) 9⅕ days(d) 10⅕ days

26. A can complete a piece of work in 10 days, B in 15 days and C in 20 days. A and C worked together for 2 days. Then B is appointed in place of A in how many days will the work be completed?

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

27. A can finish a piece of work in 12 days. B can finish the work in 10 days. A, B and C together can complete the work in 5 days. C alone can finish the work in how many days?

(a) 17 days(b) 60 days(c) 27 days(d) 30 days

28. A and B together can finish a piece of work in 4days and B and C together in 12 days. Three together can complete the work in 6 days. In how many days will A and C together finish the work?

(a) 8 days(b) 10 days(c) 12 days(d) 20 days

29. A and B together can finish a piece of work in z days. B and C together can complete the work in 7 days and A and C together can complete the work in y days.Who among them alone can complete the work in the least time?

(a) A(b) B(c) C(d) A and C

30. A and B together can finish a piece of work in 12 days and B and C together in 15 days. If A is twice as efficient as C, how many days will B take to complete the work?

(a) 30 days(b) 25 days(c) 24 days(d) 20 days