A cistern has a leak which would empty it in 6 hours. A tap is turned on which admits 10 litres of water per minute into the cistern. When it is full it now emptied in 10 hours. What is the capacity (in litres) of the cistern?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 9000
A cistern has leak which would empty it = 6 hours
Full tank in emptied = 10 hours
Capacity of the tank = LCM of 6 and 10 = 30
Efficiency of 1st leak = 30/6 = 5
Efficiency of the 2nd leak = 30/10 = 3
ATQ,
A tap is turned on which admits 10 litres of water per minute into the cistern.
(5 - 3) = 10 × 60 minutes
1 = 300
So, the capacity of the tank = 30 × 300 = 9000L