10 men and 15 women together can complete a work in 6 days It takes 100 days for one man alone to co...........

Quant (SSC) Time and work

10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?

125

150

200

225

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Explanation:

1 man's 1 day's work
1/100, (10 men + 15 women)'s 1 day's work = 1/6,
15 women's 1 day's work
= (1/6 - 1/100) = (1/6 - 1/10) = 1/15
∴ 1 woman's 1 day's work = 1/225
Then, 1 woman alone can complete the work in 225 days.