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?

10 minutes

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15 minutes

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13 minutes

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12 minutes

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Solution

The correct option is A 10 minutes
Volume of rectangular tank $= (80) (60) (60) = 288000$
Water flow $= 1.5 \times 320 = 480 c m$
Time to fill tank $= \frac{288000}{480} = 600 c m sec$
Time to fill tank in minutes $= \frac{600}{60} = 10$ minutes

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A rectangular water-tank measuring 80 cm×60 cm×60 cm is filled from a pipe of cross-sectional area 1.5 cm2, the water emerging at 3.2 m/s. How long does it take to fill the tank?

The correct option is A 10 minutesVolume of rectangular tank=(80)(60)(60)=288000Water flow=1.5×320=480cmTime to fill tank=288000480=600cmsecTime to fill tank in minutes=60060=10 minutes

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?

The correct option is A 10 minutes
Volume of rectangular tank $= (80) (60) (60) = 288000$
Water flow $= 1.5 \times 320 = 480 c m$
Time to fill tank $= \frac{288000}{480} = 600 c m sec$
Time to fill tank in minutes $= \frac{600}{60} = 10$ minutes