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A rectangular water-tank measuring $80 c m \times 60 c m \times 60 c m$ is filled from a pipe of cross-sectional area 1.5 $c m^{2},$ the water emerging at 3.2 m/s. How long does it take to fill the tank?

A

10 minutes

B

15 minutes

C

13 minutes

D

12 minutes

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Solution

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Correct option is A)

Volume of rectangular tank $= (80) (60) (60) = 288000$
Water flow $= 1.5 \times 320 = 480 c m$
Time to fill tank $= \frac{2 8 8 0 0 0}{4 8 0} = 600 c m sec$
Time to fill tank in minutes $= \frac{6 0 0}{6 0} = 10$ minutes

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