1. A tank is connected with both inlet pipes and outlet pipes. Individually, an inlet pipe can fill the tank in 7 hours and an outlet pipe can empty it in 5 hours. If all the pipes are kept open, it takes exactly 7 hours for a completely filled-in tank to empty. If the total number of pipes connected to the tank is 11, how many of these are inlet pipes?
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- By: anil on 05 May 2019 02.39 amLet the number of inlet pipes be x, then the number of outlet pipes will be 11-x. The rate of emptying the tank is more than filling the tank if all the pipes are kept opened. $$frac{11-x}{5}$$ - $$frac{x}{7}$$ = $$frac{1}{7}$$ Solving, 12x =72,Hence x = 6 Therefore, the number of inlet pipes is 6.
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