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If 1 man or 2 women or 3 boys can complete a piece of work in 88 days, then 1 man, 1 woman and 1 boy together will complete it in
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- 36 days
- 42 days
- 48 days
- 54 days
Correct Option: C
1 man = 2 women ≡ 3 boys
1 man + 1 woman + 1 boy
| = | ![]() | 3 + | + 1 | ![]() | boys = | boys | ||
| 20 | 20 |
∴ M1D1 = M2D2
| ⇒ 3 × 88 = | × D2 | |
| 2 |
| ⇒ D2 = | = 48 days | |
| 11 |
Aliter :
Using Rule 13,
Here, A = 1, B = 2, C = 3, a = 88 A1 = 1, B1 = 1, C1 = 1
| Time taken = | ||||||
| + | + | |||||
| A | B | C | ||||
| = | ||||||
| + | + | |||||
| 1 | 2 | 3 | ||||
| = | = 48 days | |
| 6 + 3 + 2 |

