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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 |