Time & Work Level-2 Quiz-3

1. A piece of work can be completed by 20 men in 25 days. 20 men start the work together. If starting from the second day, one person leaves at
the end of every day, then n/50 of the work was completed find n.

2. In the above question, If starting from the second day, one additional person with the same working capacity joins every day, then in how many days will the work be completed?

3. 20 men can finish a piece of work in 30 days. After how many days should 5 men leave the work so that it is finished in 35 days?

4. A rectangular tank has dimensions 6 m × 5 m × 4 m. Three inlet pipes X, Y, Z have filling rates of 4^m 3 /hr, 5^m 3 /hr, 6^m 3 /hr respectively. At 8 a.m., X was opened and at 8.30 a.m., Y was opened. At 10.30 a.m., Z was opened. The time at which the tank would be full is?

5. A, B and C can complete a piece of work in 10, 20 and 40 days respectively. They work on a rotation basis with A working on the first day, B on the second, C on the third, then again A on the fourth day and so on. In how many days will the work be completed?

6. A boy is trying to cover a distance of 100 m up a ramp. He takes a jump forward and covers 2 m, but every time he jumps forward he also slips backwards by 1 m. In all, how many jumps would be required to cover the distance?

7. A piece of work can be completed by ten men in a certain number of days. If there were two men less, it would have taken three more days to complete the work. In how many days can 24 men complete the same work?

8. Twenty four men working 9 hours a day can complete a piece of work in 35 days. In how many days can thirty men working 8 hours a day complete twice the original work?

9. A, B and C working alone, can complete a work in 8, 12 and 24 days respectively. All the three of them started the work and then A left after 2 days. B left after another 3 days and C then completed the remaining work. If the total wages earned by the three of them are Rs. 6000, find
the share of A.

10. Sixty men can complete a piece of work in 80 days. They started the work but after 20 days, ten of them left. After 20 more days, another ten men left. In how many days will the remaining men complete the remaining work?