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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 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 these are fill pipes?

A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to 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 these are fill pipes? Correct Answer 4

let the amount of fill pipes be (n). Therefore, there will be 8 - n, waste pipes. Each of the fill pipes can fill the tank is 8 hrs. Therefore, each of them will fill 18th of the tank in one hour. Hence, n fill pipes will fill n8th of the tank in one hour. Similarly, (8 - n) waste pipes will drain 8 - n6th of the pipe in one hour. Between the fill pipes and waste pipes, they drain - in 6 hrs. So, n8 - 8 - n6 = 16 6n - 64 - 8n48 = 16 14n - 64 = - 8 14n = 56 n = 4

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