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4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ?
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- 50 days
- 45 days
- 40 days
- 35 days
Correct Option: C
Let 1 man’s 1 day’s work = x and
1 woman’s 1 day’s work = y
| Then, 4x + 6y = | and | 8 |
| 3x + 7y = | 10 |
From both equations,
| we get y = | 400 |
∴ 10 women’s 1 day’s work
| = | = | |||
| 400 | 40 |
∴ 10 women will finish the work in 40 days.
Aliter : Using Rule 11,
A1 = 4, B1 = 6, D1 = 8
A2 = 3, B2 = 7, D2 = 10
A3 = 0, B3 = 10
Required time
| = | D1(A1B3 - A3B1) - D2(A2B3 - A3B2) |
| = | 8(4 × 10 - 0 × 6) - 10(3 × 10 - 0 × 7) |
| = | = 40 days | 20 |
