Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

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answer is C.

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Detailed Solution

Concept- The amount of work completed by one guy and one woman in a day will be determined initially. The amount of work completed by 3 men and 4 women in a single day will then be determined. Then, to get the number of days, we will subtract the quantity of work completed from 1, which represents the total amount of work.
In the question, it is stated that a job may be finished by five men or ten women in twenty days; our task is to determine the number of days it will take three men and four women to finish the same amount of labour. In response to the question, we can respond that it takes 5 guys 20 days to finish 1 task.
So, in 1 day, 5 men will complete

part of the work.
So, in 1 day, 1 man can complete

part of the work.
Let us now consider the work done by women. So, we have,
10 women take 20 days to complete 1 work.
So, in 1 day, 10 women will complete

part of the work.
So, in 1 day, 1 woman can complete

part of the work.
Now as we know that in 1 day, 1 man can complete

part of the work, it means that,
In 1 day, 3 men can complete

part of the work.
Similarly, we know that in 1 day 1 woman can complete

part of the work, it means that, In 1 day, 4 women can complete

part of the work.
So, now we can find the total amount of work that can be completed by 3 men and 4 women in 1 day as,

So, we can say that they can complete

part of the work in 1 day.
Therefore, they can complete the whole work (1) in Question Image

days.
Therefore, they will take 20 days to complete the work.
Hence, option 3 is correct.

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