FOLLOW US:

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 cistern or reservoir, emptying it, is known as an outlet.

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2.   If a pipe can fill a tank in x hours, then:

part filled in 1 hour =

1/x

.

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3 .   If a pipe can empty a tank in y hours, then:

part emptied in 1 hour =

1/y

.

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4.   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, then

the net part filled in 1 hour =

1/x

-

1/y

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5.    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, then the net part emptied in 1 hour =

1/y

-

1/x

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6 .    If a pipe fills a tank in x hrs and another fills the same tank in y hrs, but a third one empties the full tank

in z hrs, and all of them are opened together, the net part filled in 1 hr = [1/x+ 1/y-1/z].

Time taken to fill the tank =    xyz/(yz + xz – xy) hrs.

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7 .    If a pipe can fill a tank in x hrs and another can fill the same tank in y hrs, then the part filled in 1 hr when both pipes are opened = (1/x + 1/y)

Total time taken to fill the tank = xy/(x + y)

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