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If 8 men or 12 boys can do a piece of work in 16 days, the number of days required to complete the work by 20 men and 6 boys is
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5 1 days 3 -
6 1 days 3 -
8 1 days 3 -
7 1 days 3
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Correct Option: A
∵ 8 men ≡ 12 boys
∴ 4 men ≡ 6 boys
⇒ 20 men ≡ 30 boys
⇒ 20 men + 6 boys = 36 boys
∴ M1D1 = M2D2
⇒ 12 × 16 = 36 × D2
| ⇒ D2 = | = | = 5 | days | |||
| 36 | 3 | 3 |
Aliter :
Using Rule 12,
Here, A = 8, B = 12, a = 16
A1 = 20, B1 = 6,
| Required number of days = | = | ||||||||
| + | + | ||||||||
| A | B | 8 | 12 | ||||||
| = | = | = 5 | days | ||||||||||||
| + | 12 | 3 | |||||||||||||
| 2 | 2 | ||||||||||||||
