Multiple choice

If $36$ men can do a certain piece of work in $25$ days, then $15$ men will do it in __________.

  1. $60$ days
  2. $\displaystyle 10\frac{15}{36}$days
  3. $40$ days
  4. $50$ days
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A Correct answer
Explanation

This is an inverse proportion problem. 36 men * 25 days = 15 men * x days. x = (36 * 25) / 15 = 36 * (5/3) = 12 * 5 = 60 days.

AI explanation

Using the formula for inverse proportionality from the Man-Days method, we multiply the number of men by the number of days to get the total work as 36 times 25 equals 900 man-days. To find the time for 15 men, divide this total work by 15 to get 900 divided by 15 equals 60 days. The work takes 60 days.

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