Latest TCS Aptitude Question SOLUTION: there are 12 pipes that are connected to a tank.some of them are fill pipes and the others are drain pipes.each of the fill pipes can fill the tank in 8 hours and each of the drain

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there are 12 pipes that are connected to a tank.some of them are fill pipes and the others are drain pipes.each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6hours.if all the pipes are kept open, the empty tank gets filled in 24hours. how many of the 12pipes are fill pipes?

Asked In TCS ratna (11 years ago)

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snehil  (11 years ago)

let x pipes are fill pipes
so
(x/8)-((12-x)/6)=1/24
on solving x=7 ans

Is this solution Helpfull? Yes (22) | No   

neha   (11 years ago)

Let there be 'n' fill pipes attached to the tank.

Therefore, there will be 12 - n drain pipes attached to the tank

Each fill pipe fills the tank in 8 hours. Therefore, each of the fill pipes will fill th of the tank in an hour.

Hence, n fill pipes will fill of the tank in an hour.

Each drain pipe will drain the tank in 6 hours. Therefore, each of the drain pipes will drain th of the tank in an hour.

Hence, (12 - n) drain pipes will drain th of the tank in an hour.

When all these 12 pipes are kept open, it takes 24 hours for an empty tank to overflow. Therefore, in an hour th of the tank gets filled.

Hence, .

i.e. or 7n - 48 = 1 => 7n = 49 or n = 7.

Is this solution Helpfull? Yes (3) | No (2)  

Meera  (4 years ago)

x- fill pipes , y - drain pipes
x+y = 12 -----> 1
8x-6y = 24 => 4x-3y = 12 -----> 2
solving eqns 1 and 2 ,we get,
x= 7

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vivek garg  (11 years ago)

my ans is 7

Is this solution Helpfull? Yes | No (1)  

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