Management Aptitude Test Feb 2012 Paper

Question : 103 of 200

Marks: +1, -0

A tank is fitted with 8 pipes, some of them that fill the tank and other pipes are meant to empty the tank. Each pipe that fills the tank can fill it in 8 h, while each of those that empty the tank can empty it in 6 h. All the pipes are kept open. When tank is full, it will take exactly 6 h for the tank to empty. How many pipes are filling the tank?

Validate

Solution:

(4) Let the number of pipes that fill and empty the tank be x and 8 - x respectively.
Then,

{8 - x}/6- x/8 =1/6

{4(8- x )-3x}/24=1/6

⇒ 32 - 7x = 4
⇒ 7x = 28 ⇒ x = 4

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