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If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in
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- 21 days
- 24 days
- 26 days
- 33 days
Correct Option: B
1 man ≡ 2 women ≡ 3 boys
∴ 1 man + 1 woman + 1 boy
≡ 3 boys + | boys + 1 boy | 2 |
= | 3 + | + 1 | boys | 2 |
= | boys | 2 |
∴ By M1 D1 = M2 D2
3 × 44 = | × D2 | 2 |
⇒ D2 = | = 24 days | 11 |
Aliter : Using Rule 13,
Here, A = 1, B= 2, C = 3, a = 44
A1 = 1, B1 = 1, C1 = 1
Required time
= | |||||
+ | + | ||||
A | B | C |
= | |||||
+ | + | ||||
1 | 2 | 3 |
= | = 24 days | 11 |