Question
Download Solution PDFTwo pipes fill the tank in 711 minutes and 1185 minutes. There is also a leak pipe in the tank. When all the three are opened, the empty tank is filled in 474 minutes. How many minutes will the leak pipe take to empty the tank?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Time taken by pipe 1 to fill the tank = 711 minutes
Time taken by pipe 2 to fill the tank = 1185 minutes
Time taken by all three (including the leak) to fill the tank = 474 minutes
Formula Used:
Total Work = Time × Efficiency
Calculation:
Let the total capacity be LCM(711, 1185, 474) = 7110 units
Efficiency of Pipe 1 = 7110/711 = 10
Efficiency of Pipe 2 = 7110/1185 = 6
Efficiency of Pipe 1 + Pipe 2 + Pipe 3 = 7110/474 = 15
Efficiency of Pipe 3(Leakage Pipe) = 16 - 15 = 1
Time taken by the Pipe 3 to empty the tank = 7110/1 = 7110 minutes
Therefore, the leak pipe will take 7110 minutes to empty the tank.
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