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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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 Spring '11
 vinh

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