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If 40 men or 60 women or 80 children can do a piece of work in 6 months, then 10 men, 10 women and 10 children together do half of the work in
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5 6 months 13 - 6 months
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5 7 months 13 -
11 1 months 13
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Correct Option: C
40 men ≡ 60 women ≡ 80 children
| ∴ 10 men ≡ | × 10 = 20 children | 40 |
| ∴ 10 women ≡ | × 10 | 60 |
| = | children | 3 |
∴ 10 men + 10 women + 10 children
| = |  | 20 + | + 10 |  | children | 3 |
| = | | | children | 3 |
| = | children | 3 |
| ∴ | = | |||
| W1 | W2 |
| D2 = | = | months | ||
| 130 | 13 |
∴ Half of the work can do
| = | × | |||
| 13 | 2 |
| = | = 5 | months | ||
| 13 | 13 |
Aliter : Using Rule 13,
Here, A = 40, B= 60, C = 80, a = 6
A1 = 10, B1 = 10, C1 = 10
Time taken
| = | |||||
| + | + | ||||
| A | B | C | |||
| = | |||||
| + | + | ||||
| 40 | 60 | 80 | |||
| = | |||||
| + | + | ||||
| 4 | 6 | 8 | |||
| = | |
| 24 |
| = | 13 |
Half of the work they do in
| = | × | months | ||
| 2 | 13 |
| = | = 5 | months | ||
| 13 | 13 |
