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16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will it take them to complete the remaining work ?
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Correct Option: B
Work done by 12 men in 8 days ≡ Work done by 16 women in 12 days.
⇒ 12 × 8 men ≡ 16 × 12 women
⇒ 1 man ≡ 2 women
Now, work done by 12 men in 1 day
| = | 8 |
1 man’s 1 day’s work
| = | = | |||
| 12 × 8 | 96 |
∴ 16 men’s 3 day’s work
| Remaining work = 1 – | = | |||
| 2 | 2 |
| Now | work is done by 6 men and 4 women. | 2 |
∴ 6 men + 4 women
= (6 + 2) men = 8 men
| ∴ | = | |||
| W1 | W2 |
| ∴ | = | |||
| 1 | 1/2 |
| ⇒ D2 = | = 6 days. | 2 × 8 |
