Time & Work Level-2 Quiz-1

1. A, working alone, takes 80 days more than the time taken by A and B working together to complete the work. B, working alone, takes 20 days more than the time taken by A and B working together to complete the work. Find the time taken by A alone to complete the work. (in days)

2. P, Q and R are 3 small pumps fitted to a tank. S is a large pump fitted to the tank. Q is 50% more efficient than P. R is 33 1 / 3 % more efficient than Q. S is 50% more efficient than R. Find the ratio of the time taken by the four pumps working together to fill the tank and the time taken by the large pump to fill it.

3. A pipe which can fill a tank in 12 hours, is opened at 6:00 a.m. A leak which can empty the tank in 24 hours was observed at 10:00 a.m. and was immediately stopped. The tank would be full at ______ :______ p.m.

4. A man, a woman and a boy can do a piece of work in 3, 4 and 12 days respectively. How many boys must assist one man and a one woman to complete the work in one and a half days?

5. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?

6. Three taps A, B and C together can fill a tank in 6 hours. All the taps are opened simultaneously. After 2 hours, C was closed and the tank was filled in 8 more hours. Find the time (in hours) in which C can fill the tank.

7. Working together, A and B can complete a piece of work in 24 days, B and C can complete the same work in 40 days while A and C can complete it in 30 days. Find the number of days in which A can complete the same work.

8. Naveen, Praveen and Lenin are three brothers. The rate of work of Naveen is one-third of that of Praveen and Lenin together. If Praveen can complete the work in 8 days, while Lenin can complete it in 24 days, then in how many days can they together complete the same work?

9. The ratio of the rates of work of A, B and C is 1 : 3 : 2. The total wages of A, B and C for working for 15, 20 and 25 days respectively are Rupees 5000. Find the total wages of the three (in Rupees ), if A works for 10 days, B for 15 days and C for 12 days.

10. Working together, A and B can complete a work in 12 days. They work together for 9 days after which B leaves. If A finishes the remaining work in 5 days, then find the number of days that B alone would take to complete the work.