2 pipes A and B can fill a tank separately in | vedclass

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(B) Let the capacity of the tank be the $LCM$ of $60$ and $70$,which is $420$ units.Efficiency of pipe $A = 420 / 60 = 7$ units/min.Efficiency of pipe

Vedclass · Accepted Answer

$70$

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(B) Let the capacity of the tank be the $LCM$ of $60$ and $70$,which is $420$ units.Efficiency of pipe $A = 420 / 60 = 7$ units/min.Efficiency of pipe $B = 420 / 70 = 6$ units/min.Let the efficiency of the third pipe (emptying pipe) be $x$ units/min.When all three pipes are open,the net efficiency = $7 + 6 - x = 13 - x$ units/min.The tank is filled in $60$ min,so the net efficiency = $420 / 60 = 7$ units/min.Equating the two: $13 - x = 7$,which gives $x = 6$ units/min.Time taken by the third pipe to empty the full tank = Total Capacity / Efficiency of third pipe = $420 / 6 = 70$ min.

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