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A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?

A. 2400 litters

B. 4500 litters

C. 1200 litters

D. 7200 litters

Answer: Option D

Solution(By Examveda Team)

Let the total capacity of the tank is 30 units.
The efficiency of Leakage(Pipe A) will be $$\frac{30}{10}$$  = 3
And the efficiency of the leakage (Pipe A) and another Pipe (B) which is filling the tank will be $$\frac{30}{15}$$  = 2
Pipe A is emptying at 3 units/hr and when filling pipe B started then the emptying rate will come down to 2 units/hr.
∴ Filling Pipe B efficiency is 3 - 2 = 1unit/hr
Pipe B will be fill the tank in $$\frac{30}{1}$$  = 30 hrs
Filling rate of Pipe B per minute is 4 litter
∴ Total Capacity of tank will be = (4 × 60) × 30 = 7200 litters

This Question Belongs to Arithmetic Ability >> Pipes And Cistern

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Comments ( 3 )

  1. Md. Imran
    Md. Imran :
    7 months ago

    v/10 - 4*60 = v/15 gives v = 7200 units

  2. Danish Mahajan
    Danish Mahajan :
    2 years ago

    How did you get 30 units efficiency???
    Even if you got the capacity by taking LCM, why you did it??????????
    MOFO

  3. Nikhitha S
    Nikhitha S :
    2 years ago

    If leakage pipe efficiency is -3 and filling and leakage pipes efficiency together is +2. then filling pipe efficiency should be 5 not 1

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