Question

A pipe is filling a tank of 200 litres capacity at 5 litres/hr. Because of a leak it takes 80 hours more to fill the tank. What is the rate in litres/hr at which the water is leaking? (A) 60 (B) 3 (C) 3.33 (D) 80
solve​

Answer 1

Answer:

Option C

Step-by-step explanation:

Total Time to fill a tank @5 litre/hour = 200/5 = 40 Hours

With Leak the time to fill tank = 40+80 = 120 hours

in 120 Hours the inlet fills = 120*5 = 600 litres

Excess water filled by inlet in 120 hours = 600-200 = 400

i.e. Leak empties excess water 400 litres in 120 hours

So leakage rate = 400/120 = 40/12 = 10/3 litres/hour

Answer 2

Answer:

The rate in litres/hr at which the water is leaking is equal to 3.33 litres/hr.

Therefore, option (C) is correct.

Step-by-step explanation:

Given, Capacity of a tank = 200 litres

The rate of filling the tank = 5 litres/hr

The total time taken to fill $=\frac{200}{5} = 40 \;hrs$

Extra time taken to fill tank because of leakage = 80hrs

The total time taken with leak to fill tank $= 40+80 = 120 \;hours$

The inlet fills amount of water in 120 hours$= 120\times 5 = 600\;litres$

Excess water in 120 hours filled due to leak$= 600-200 = 400\; L$

The rate at which the water leaking $=\frac{400\; Litres}{120\; hours} =3.33 \; litres/hr$

Therefore, the rate in litres/hr at which the water is leaking is equal to 3.33 litres/hr.

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