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Either 8 men or 17 women can paint a house in 33 days. The number of days required to paint three such houses by 12 men and 24 women working at the same rate is :
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- 44 days
- 43 days
- 34 days
- 66 days
Correct Option: C
8 men ≡ 17 women
| ⇒ 12 men ≡ | × 12 | 8 |
| = | women | 2 |
∴ 12 men + 24 women
| = | + 24 = | women | ||
| 2 | 2 |
| By | = | |||
| W1 | W2 |
| = | = | |||
| 1 | 2 × 3 |
| ⇒ D2 = | = 34 days | 99 |
Aliter : Using Rule 12,
Here, A = 8, B = 17, a = 33
A1 = 12, B1 = 24
| Number of days= | A1B + B1A |
| = | 12 × 17 + 24 × 8 |
| = | 396 |
No. of days to paint 3 houses
| = | × 3 = 34 days | 396 |
