water enters a 200l tank at a rate of 10g/s and is withdrawn at a rate of 32g/s. the tank is initially half full. if the density of water is 1000g/l, how long will it take the tank to drain completely in minutes?



Answer :

Time it will take the tank to drain completely in minutes is 75.8 minutes

It is given that

Volume of tank = 200 L

Water enters at rate = 10g/s

Water withdraw at rate = 32g/s

Density of water = 1000g/l

Half full means 100 liters to drain out

net rate of water draining out is 32 - 10

= 22 g/s or 22 ml/s = .022 L/s

100 L / .022 L/s = 4545.45 seconds

Divide by 60 to find minutes = 75.8 minutes

Hence, Time it will take the tank to drain completely in minutes is 75.8 minutes

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