16 CHAP - 16. PIPES AND CISTERNS IMPORTANT FACTS AND...

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16. PIPES AND CISTERNS IMPORTANT FACTS AND FORMULAE 1. Inlet: A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet. Outlet: A pipe connected with a tank or a cistern or a reservoir, emptying it, is known as an outlet. 2. (i) If a pipe can fill a tank in x hours, then : part filled in 1 hour = 1/x (ii) If a pipe can empty a full tank in y hours, then : part emptied in 1 hour = 1/y (iii) If a pipe can .fill a tank in x hours and another pipe can empty the full tank in y hours (where y> x), then on opening both the pipes, the net part filled in 1 hour = (1/x)-(1/y) (iv) If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where x > y), then on opening both the pipes, the net part emptied in 1 hour = (1/y)-(1/x) SOLVED EXAMPLES Ex. 1:Two pipes A and B can fill a tank in 36 bours and 46 bours respectively. If both the pipes are opened simultaneously, bow mucb time will be taken to fill the tank? Sol:
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16 CHAP - 16. PIPES AND CISTERNS IMPORTANT FACTS AND...

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