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3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work?
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- 20 days
- 10 days
- 4 days
- 15 days
Correct Option: C
3 men’s work = 5 women’s work
| 1 man’s work = | women’s work | 3 |
| ∴ 6 men’s work = | × 6 | 3 |
=10 women’s work
∴ 6 men + 5 women = 15 women
∴ 5 women can do work in 12 days.
Hence, 15 women can do it in
| = 4 days | 15 |
Aliter : Using Rule 12,
Here, A = 3, B = 5, a = 12
A1 = 6 and B1 = 5
| Required time = | A1B + B1A |
| = | 6 × 5 + 5 × 3 |
| = | = 4 days | 45 |
