Correct Option: A
| (A + B)’s 1 day’s work = | 1 | |
| 18 |
| (B + C)’s 1 day’s work = | 1 | |
| 24 |
| (A + C)’s 1 day’s work = | 1 | |
| 36 |
Adding all three,
| 2 (A + B + C)’s 1 day’s work = | 1 | + | 1 | + | 1 |
18 | 24 | 36 |
| 2 (A + B + C)’s 1 day’s work = | 4 + 3 + 2 | = | 1 | |
72 | 8 |
| ∴ (A + B + C)’ 1 day’s work = | 1 | |
| 16 |
∴ A, B and C together will complete the work in 16 days.
Second method to solve this question ,Here , x = 18 , y = 24 , z = 36
| Time taken = | 2xyz | |
xy + yz + zx |
| Total time taken = | 2 × 18 × 24 × 36 | |
| 18 × 24 + 24 × 36 + 36 × 18 |
| Total time taken = | 36 × 24 × 36 | |
| 432 + 864 + 648 |
| Total time taken = | 31104 | = 16 days |
| 1944 |
