Multiple choice

A swimming pool is $24m$ long and $!5m$ broad, when a number of men dive into the pool, the height of the water rises by $1cm$. If the average amount of water displaced by one of the men be $0.1cu.m$, how many men are there in the pool?

  1. $42$
  2. $46$
  3. $32$
  4. $36$
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D Correct answer
Explanation

Volume of water rise = 24m * 15m * 0.01m = 3.6 cubic meters. Each man displaces 0.1 cubic meters. Number of men = 3.6 / 0.1 = 36.

AI explanation

The volume of the water displaced by the men is equal to the volume of the tank corresponding to the rise in water level. The volume is calculated as 24 m multiplied by 15 m multiplied by 0.01 m, which equals 3.6 cubic meters. Since the average displacement per man is 0.1 cubic meters, the number of men is 3.6 divided by 0.1, which equals 36. The number of men in the pool is 36.

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