Quantitative Aptitude :: Pipes & Cistern - Discussion
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A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?
A4
B5
C1
D7
Show Explanation
Let the number of fill pipes be x and empty pipes be 8-x
Let one pipe in 1 hr fills 1/8th part of the tank then x pipes will fill x/8 part
Similarly 8-x pipes will empty (8-x)/6th part of the tank in 1 hour
Hence x/8 - (8-x)/6 =1/6 (All the pipes operating simultaneously so finding the result of 1 hr)
Solving for x we get as x= 4
So no. of fill pipes =no. of empty pipes=4
Asked In ::
Let no. of Filling pipe be- x
Then no. of Empty pipe be- 8-x
24 (LCM of 8
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Let the number of fill pipes be x and empty pipes be 8-x
Let one pipe in 1 hr fills 1/8th part of the tank then x pipes will fill x/8 part
Similarly 8-x pipes will empty (8-x)/6th part of the tank in 1 hour
Hence x/8 - (8-x)/6 =1/6 (All the pipes operating simultaneously so finding the result of 1 hr)
Solving for x we get as x= 4
So no. of fill pipes =no. of empty pipes=4
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