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Question

A tank is emptied by 2 pipes and filled by a third. If the 1st two can empty the tank in 2 and 3 hrs, respectively and third can fill it in 4 hours, how much time will it take to empty the tank (45)th fully, when all three are open?

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Solution

Let the time taken to completely empty the tank is x hrs.
1x=12+13+(14)
1x=712
x=127hrs
Complete tank will be emptied in 127 hrs
(45)th tank will be emptied in = 127×45=4835 hrs

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