-
A, B and C working separately can do a piece of work in 11 days, 20 days and 55 days respectively. In how many days, the work will be completed if A is assisted by B and C on alternate days ?
-
- 2
- 6
- 4
- 8
Correct Option: D
(A + B)’s 1 day’s work
| = | + | |||
| 11 | 20 |
| = | = | |||
| 220 | 220 |
(A + C)’s 1 day’s work
| = | + | |||
| 11 | 55 |
| = | = | |||
| 55 | 55 |
Work done in first two days
| = | + | |||
| 220 | 55 |
| = | = | = | ||||
| 220 | 220 | 4 |
∴ Required time = 2 × 4 = 8 days
