Important Formulas

Problems on Time and Work

Q21. A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs. 2000, A will get
(a) Rs. 1200
(b) Rs. 1300
(c) Rs. 1400
(d) Rs. 1500

Q22. 12 women can complete a work in 8 days and 9 girl take 12 days to complete the work. How many days will 6 women and 9 girl take to complete the work ?
(a) 5(5/7) days
(b) 6(6/7) days
(c) 8(1/3) days
(d) 11(3/7) days

Q23. A man, a women and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a women take to complete the work ?
(a) 9 days
(b) 11 days
(c) 13 days
(d) 16 days

Q24. 8 men working 8 hours a day can complete a piece of work in 14 days. In how many days can 6 men working for 9 hours a day, complete the same piece of work ?
(a) 13(11/29) days
(b) 16(16/27) days
(c) 17(13/17) days
(d) 19(3/11) days

Q25. 9 children can complete a piece of work in 360 days; 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?
(a) 57 days
(b) 66 days
(c) 71 days
(d) 81 days

Q26. If 6 men or 10 women can finish a piece of work in 20 days, 4 men and 5 women will do the same work in
(a) 14(1/7) days
(b) 15(1/7) days
(c) 17(1/7) days
(d) 19(1/7) days

Q27. A can do ¼ th part of the work in 10 days. B can do 40% of the work in 40 days and c can do 1/3rd of the work in 13 days. Who will complete the work first ?
(a) A
(b) B
(c) C
(d) All will complete the work on same time

Q28. A can build a wall in 30 days, while B alone can build it in 40 days. If they build it together and get a payment of Rs. 14000, what is B's share ?
(a) Rs. 5000
(b) Rs. 6000
(c) Rs. 6500
(d) Rs. 7000

Q29. A can do a piece of work in 50 days which B alone can finish in 40 days. Both together work for 10 days and then A leaves off. How many days will B take to finish the remaining work ?
(a) 15 days
(b) 18 days
(c) 19 days
(d) 22 days

Q30. A can do a piece of work in 18 days which B can do it in 10 days. B work at it for 9 days. A can finish the remaining work in
(a) 1(4/5) days
(b) 3¾ days
(c) 3½ days
(d) 5½ days

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