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

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? ?

Created: 1 week ago | Updated: 1 week ago | Created By:

Imran Ahmed

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Best Answer Explained in Below-:

QuestionA tank is connected with 8 pipes. Some of them are inlet pipes and rest work as outlet pipes. Each of the inlet pipe can fill the tank in 8 hours, individually, while each of those that empty the tank i.e., outlet pipe, can empty it in 6 hours individually. 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 inlet pipes? 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, \(n^{8}\) - 8 - \(n^{6}\) = 166n - 64 - 8n48 = 1614n - 64 = - 814n = 56n = 4

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