-
A, B and C together can do a piece of work in 40 days. After working with B and C for 16 days, A leaves and then B and C complete the remaining work in 40 days more. A alone could do the work in
-
- 80 days
- 90 days
- 100 days
- 120 days
Correct Option: C
A, B and C together complete the work in 40 days.
∴ (A + B + C)’s 1 day’s work
| = | 40 |
∴ (A + B + C)’s 16 days work
| = | = | |||
| 40 | 5 |
| Remaining work = 1 – | = | |||
| 5 | 5 |
This part of work is done by B and C in 40 days.
| ∴ Time taken in doing | work = 40 days. | 5 |
∴ Time taken in doing in 1 work
| = | = | days | ||
| 3 | 3 |
∴ A’s day’s work = (A + B + C)’s 1 day’s work – (B + C)’s 1 day’s work
| = | - | |||
| 40 | 200 |
| = | = | = | ||||
| 200 | 200 | 100 |
∴ Required time = 100 days
