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If 12 men or 24 boys can do a work in 66 days, the number of days in which 15 men and 6 boys can do it is
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- 44
- 33
- 55
- 66
Correct Option: A
&because12 men ≡24 boys
∴ 1 man ≡2 boys
∴ 15 men + 6 boys
= 30 boys + 6 boys = 36 boys
∴ M1D1 = M2D2
⇒ 24 × 66 = 36 × D2
| ⇒ D2 = | = 44 days | 36 |
Aliter : Using Rule 12,
Here, A = 12, B = 24
a = 66, A1 = 15, B1 = 6
| ∴ Time taken = | A1B + B1A |
| = | 15 × 24 + 6 × 12 |
| = | 360 + 72 |
| = | = 44 days. | 432 |
