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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)

 

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