Please explain the solution, opts are 48 ltrs, 36 ltrs , 24 ltrs , 16 ltrs.

There are 10 filling pipes each capable of filling a cistern alone in 6 minutes and 6 emptying pipes each capable of emptying a cistern alone in 8 minutes. All pipes are opened together and as a result, tank fills 22 litres of water per minute. Find the capacity of the tank.

Your Answer

Solution is here Let the capacity of cistern be 'x' ltrs Let's Talk about filling pipes Each filling pipe can fill the cistern in 6 min = x ltrs It's 1 min work = x/6 ltrs So 10 filling pipes 1min work = 10x/6 ltrs Now talk about emptying pipes Each emptying pipe can empty the cistern in 8 min = x ltrs Each emptying pipe 1min work = -x/8 ltrs 6 emptying pipes 1 min work = -6x/8 ltrs All pipes are open so 10x/6 - 6x/8 = 22 ltrs From solving above equation we will get the value of x = 24 ltrs which is the capacity of the tank.

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