two pipes can separately fill a cistern in 5 hours and 6 hours respectively ,and a third pipe can empty it in 10 hours how long would it take for the cistern if all the pipes were used together
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Answer:
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Step-by-step explanation:
Pipe A alone can fill the cistern in
37
1
2
=
75
2
minutes. Since it was open for
30
minutes, part of the cistern filled by pipe A
=
2
75
×
30
=
4
5
So the remaining
1
5
part is filled by pipe B.
Pipe B can fill the cistern in 45 minutes. So, time required to fill
1
5
part
=
45
5
=
9
minutes.
i.e., pipe B is turned off after 9 minutes.
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