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6 men and 8 women can do as much work in a given time as 3 men and 13 women.The capacities of a man and a woman are in the ratio3 : 83 : 55 : 35 : 8

Question

6 men and 8 women can do as much work in a given time as 3 men and 13 women.The capacities of a man and a woman are in the ratio3 : 83 : 55 : 35 : 8

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Solution

The question seems to be incomplete. However, I can help you solve it based on the information given.

The problem states that 6 men and 8 women can do as much work as 3 men and 13 women. This can be written as:

6M + 8W = 3M + 13W

Solving this equation for M (the work capacity of a man) gives:

3M = 5W

This means that the work capacity of a man is 5/3 times that of a woman.

The problem also states that the capacities of a man and a woman are in the ratio 3:8, 5:5, or 3:5.

Given the equation we just solved, the correct ratio would be 3:5, because this ratio is equivalent to 5/3.

Therefore, the work capacity of a man is 5/3 times that of a woman, or in other words, the capacities of a man and a woman are in the ratio 3:5.

This problem has been solved

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