A pump can fill a milk tank in 2 hours. Because of a leakage problem, it took 20 minutes more to fill the tank. The plant supervisor wants to find out how much time would the leak take to empty the full tank.
Anonymous:
is it 1 hour 40 min? srry if wrong...
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Full tank capacity = C
litres.
Filling rate of pump = C/2 litres/hour
Filling rate of pump + leak together = C / (2+1/3) = 3 C/7 litres/hour
Leakage through the leaks = C/2 - 3 C/7 = C /14 litres / hour
Time to empty the full tank through the leaks = C / (C/14) = 14 hours
Filling rate of pump = C/2 litres/hour
Filling rate of pump + leak together = C / (2+1/3) = 3 C/7 litres/hour
Leakage through the leaks = C/2 - 3 C/7 = C /14 litres / hour
Time to empty the full tank through the leaks = C / (C/14) = 14 hours
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