A cistern has two pipes one of which pours in 4/15 litre of water and the other empties 2/3 little every minute. the cistern has 36 litre of water ; when will it be emptied if both the pipes are opened at a time?
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Answer:
Part of the tank filled by the first pipe in 1 hour =
8
1
Part of the tank emptied by the second pipe in 1 hour =
5
1
∴ Part of the tank emptied when both the pipes are opened together =
5
1
−
8
1
=
40
3
∴
40
3
part of the tank is emptied in 1 hour
∴
4
3
th of the tank will be emptied in (
3
40
×
4
3
) hours =10 hours.
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