-
A, B and C can complete a piece of work in 24, 5 an 12 days respectively. Working together, they will complete the same work in :
-
-
7 days 24 -
3 1 days 13 - 4 days
-
1 days 24 - None of these
-
Correct Option: E
| A’s 1 day’s work = | 24 |
| B’s 1 day’s work = | 5 |
| C’s 1 day’s work = | 12 |
∴ (A + B + C)’s 1 day’s work
| = | + | + | ||||
| 24 | 5 | 12 |
| = | 120 |
| = | = | |||
| 120 | 40 |
∴ Required time
| = | = 3 | days | ||
| 13 | 13 |
Aliter : Using Rule 3,
| Time taken = | xy + yz + zx |
| = | 24 × 5 + 5 × 12 + 12 × 24 |
| = | 120 + 60 + 288 |
| = | = | = 3 | days | |||
| 468 | 13 | 13 |
