Multiple choice

The length of a rectangular tank is $100\ mts$. Its breadth is $80\ mts$. If water is flowing through a square sluice of area $1\ m^{2}$ at $40\ m$ per minutes, then the taken to fill the tank to a depth of $2\ mts$ is

  1. $6\ hrs\ 40\ min$
  2. $6\ hrs$
  3. $5\ hrs$
  4. $7\ hrs$
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A Correct answer
Explanation

The tank volume to be filled is 100 x 80 x 2 = 16,000 m^3. The flow rate is 1 x 40 = 40 m^3 per minute, so the time is 400 minutes, or 6 hours 40 minutes.

AI explanation

The volume of water needed is 100 multiplied by 80 multiplied by 2, giving 16000 cubic meters. The flow rate is 1 multiplied by 40, giving 40 cubic meters per minute, so dividing 16000 by 40 gives 400 minutes. Converting 400 minutes gives 6 hours and 40 minutes.

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