QUESTION

CSAT

Easy

Maths

Prelims 2022

24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?

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Explanation

Let’s assume: The rate of work for one man is (M)(M) (work done per day by 1 man). The rate of work for one woman is (W)(W) (work done per day by 1 woman).

From the first scenario (24 men and 12 women), we know: Total rate of work = 24M+12W24M + 12W The work done in 30 days is the total rate of work multiplied by 30: (24M+12W)×30=W(24M + 12W) \times 30 = W For the second scenario (12 men and 24 women), the total rate of work is: 12M+24W12M + 24W The time taken to complete the work is (t)(t) days, and we can write: (12M+24W)×t=W(12M + 24W) \times t = W

We do not have enough information to find the individual values of (M)(M) and (W)(W). Since the problem does not provide the relative rates of men and women or their work efficiency, the data is inadequate to draw a conclusion.

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