36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?

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answer is D.

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Detailed Solution

Concept- This is an issue with indirect proportion. Let's say 36 men can finish a project in 18 days. Then, how many days will it take 27 men to do the same task. Days will shorten as the number of males rises. So we were asked to determine how many days it would take to finish the job with the fewest number of workers.
Given that, a project can be finished by 36 workers in 18 days.
Since X can be finished by 36 workers in 18 days.
Then X job can be finished by 27 guys in Y days.
due to the inverse relationship between men and days.
In other words, days will lengthen as men do.
Thus, Men

.
The equation will then be

.
Now, when we multiply equation (1) by itself, we get

.
Any integer multiplied by one will result in the same number, hence the equation above becomes

As we multiply equation (2) by the second equation,

, we obtain.

Given that equations (1) and (2) have the same left-hand side. So, when we combine equations (1) and (2) , we get,

It indicates to keep the variables on one side.
Question Image

Therefore, X works can be finished by 27 workers in 24 days.
Hence, the correct answer is option 4.

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