There are two taps to fill a tank while a third to empty it. When the third tap is closed, they can fill the tank in 10 minutes respectively. If all the three taps be opened, the tank is filled in 15 minutes. If the first two taps are closed, in what time can the third tap empty the tank when it is full? I want answer with explanation .

 
Dear Student,

Please find below the solution to the asked query:
In 10 mints tank full with A and BSo in 1 mint =1A+1B=110Now if all three taps open then=1A+1B-1C=115  in 1 mintSo1A+1B-1C=115110-1C=115110-115=1C3-230=1C1C=130C=30Hence tap C empty the tank in 30 minuts         Answer

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