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20 men or 24 women can complete a piece of work in 20 days. If 30 men and 12 women undertake to complete the work, the work will be completed in
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- 10 days
- 12 days
- 15 days
- 16 days
Correct Option: A
20 men ≡ 24 women
⇒ 5 men ≡ 6 women
∴ 30 men + 12 women = 40 men
∴ M1D1 = M2D2
⇒ 20 × 20 = 40 × D2
⇒ D2 = | = 10 days | 40 |
Aliter : Using Rule 12,
Here, A = 20, B = 24, a = 20
A1 = 30, B1 = 12
Required time = | A1B + B1A |
= | 30 × 24 + 12 × 20 |
= | 720 + 240 |
= | = 10 days | 960 |