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One man or two women or three boys can do a piece of work in 88 days. One man, one woman and one boy will do it in
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- 44 days
- 24 days
- 48 days
- 20 days
Correct Option: C
1 man ≡ 2 women ≡ 3 boys
∴ 1 man + 1 woman + 1 boy
= | 3 + | + 1 | boys | 2 |
= | boys | 2 |
= | boys | 2 |
∴ M1D1 = M2D2
⇒ 3 × 8 = | × D2 | 2 |
⇒ D2 = | = 48 days | 11 |
Aliter : Using Rule 13,
Here, A = 1, B = 2, C = 3, a= 88
A1 = 1, B1 = 1, C1 = 1
Required time
= | |||||
+ | + | ||||
A | B | C |
= | |||||
+ | + | ||||
1 | 2 | 3 |
= | = 48 days | |
6 |