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A wall is built by 17 men in 24 days. In how many days can 18 men do the work if hours per day is reduced in the ratio 5:4? radio_button_unchecked 29.75 days radio_button_unchecked 28.33 days radio_button_unchecked 30.33 days radio_button_unchecked 35.25 days

Question

A wall is built by 17 men in 24 days. In how many days can 18 men do the work if hours per day is reduced in the ratio 5:4?

radio_button_unchecked 29.75 days

radio_button_unchecked 28.33 days

radio_button_unchecked 30.33 days

radio_button_unchecked 35.25 days

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Solution

First, we need to understand that the time taken to complete a work is inversely proportional to the number of men working and directly proportional to the number of hours worked.

Given that 17 men can build a wall in 24 days, we can say that the work done is equivalent to 17 men * 24 days = 408 man-days.

Now, we are asked to find out how many days it would take for 18 men to do the same work if the hours per day is reduced in the ratio 5:4. This means that they are now working 4/5th of the time they were previously working.

So, the time taken by 18 men to do the same work would be (408 man-days) / (18 men * 4/5) = 28.33 days.

Therefore, the correct answer is:

radio_button_unchecked 29.75 days

radio_button_checked 28.33 days

radio_button_unchecked 30.33 days

radio_button_unchecked 35.25 days

This problem has been solved

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