Mathematics  Time and Work  Set 2
Q.1. Sheetal is twice as good as workman as Babita and together they finish a piece of work in 18 days. Find the total number of days in which Babita can finish the work.
(a) 27 days (b) 54 days (c) 56 days (d) 68 days Q.2. Ram, Mohan, and Sita can do a work in 7, 14 and 28 days respectively. In what time will they finish the work while working together? (a) 6 days (b) 5 days (c) 4 days (d) 3 days Q.3. 12 children take 16 days to complete a work which can be completed by 8 adults in 12 days. 16 adults started working and after 3 days 10 adults left and 4 children joined them. How many days will it take them to complete the remaining work? (a) 6 days (b) 8 days (c) 4 days (d) 3 days Q.4. Six technicians working at the same rate complete work of one server in 10 hours. If they start at 11:00 am and one additional technician per hour being added beginning at 5:00 pm, at what time the server will be complete? (CAT 2002) (a) 6:40 pm (b) 7:00 pm (c) 7:20 pm (d) 8:00 pm Q.5. A can complete a piece of work in 4 days. B takes double the time taken by A, C takes double the time taken by B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes twothird the time needed by the second pair to complete the work. Which is the first pair? (CAT 2001) (a) A, B (b) A, C (c) B, C (d) A, D Q.6. A father can do a job as fast as his two sons working together. If one son does the job in 3 hours and the other in 6 hours, how many hours does it take the father to do the job? (a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours Q.7. A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for: (a) 12 days (b) 14 days (c) 16 days (d) 7 days Q.8. A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of c? (a) Rs. 55 (b) Rs. 65 (c) Rs. 75 (d) Rs. 85 Q.9. If 10 men or 18 boys can do a work in 15 days, then the number of days required by 15 men and 33 boys together to do twice the work is (SSC CPO 2012) (a) 9 days (b) 36 days (c) 4.5 days (d) 8 days Q.10. Working 5 hours a day, A can complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in (SSC CGL 2008) (a) 3 days (b) 4 days (c) 4.5 days (d) 5 days Q.11. Two persons A and B working together can dig a trench in 8 hours while A alone can dig it in 12 hours. In how many hours B alone can dig such a trench?
(a) 25 hours (b) 24 hours (c) 42 hours (d) none of these Q.12. If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days? (a) 89 days (b) 90 days (c) 80 days (d) 99 days Q.13. 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 : (Hotel Management 2003) (a) 15 (b) 18 (c) 16 (d) 25 Q.14. X and Y can do a 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 the work last? (Bank PO 2004) (a) 6 days (b) 10 days (c) 15 days (d) 20 days Q.15. Seven men can do a piece of work in 12 days. They started the work and after 6 days, two men left. In how many days will the work be completed by the remaining men? (a) 5 days (b) 6 days (c) 7 days (d) None of these Answers

