A pipe can fill a tank in 0.9 hours and another pipe can empty in 0.7 hours. If tank is completely filled and both pipes are opened simultaneously then 450 liters of water is removed from the tank in 2.5 hours. What is the capacity of the tank?

A pipe can fill a tank in 0.9 hours and another pipe can empty in 0.7 hours. If tank is completely filled and both pipes are opened simultaneously then 450 liters of water is removed from the tank in 2.5 hours. What is the capacity of the tank?

Solution:

Let,

The capacity of the tank be x litre

A can fill in 1 hour = x/0.9 litre

So, A can fill in 2.5 hour = 2.5x/0.9 litre

Again,

B can empty in 1 hour = x/0.7 litre

So, B can empty in 2.5 hour = 2.5x/0.7 litre

ATQ,

(2.5x/0.7) – (2.5x/0.9) = 450

Or, x/7 – x/9 = 450/25

Or, 2x/63 = 18

Or, x = (18×63)/2 = 567

So, the capacity of the tank = 567 litre
A pipe can fill a tank in 0.9 hours and another pipe can empty in 0.7 hours. If tank is completely filled and both pipes are opened simultaneously then 450 liters of water is removed from the tank in 2.5 hours. What is the capacity of the tank? A pipe can fill a tank in 0.9 hours and another pipe can empty in 0.7 hours. If tank is completely filled and both pipes are opened simultaneously then 450 liters of water is removed from the tank in 2.5 hours. What is the capacity of the tank? Reviewed by Admin on 10:53 PM Rating: 5

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