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Two taps A and B fill a swimming pool together in two hours. Alone, it takes tap A three hours less than B to fill the same pool. How many hours does it take each tap to fill the pool separately?
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Nov 24, 2016
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Two taps A and B fill a swimming pool together in two hours. Alone, it takes tap A three hours less than B to fill the same pool. How many hours does it take each tap to fill the pool separately?
Mathematics
high-school
Abraham Gnanasingh
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Abraham Gnanasingh
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a=b-3
2/)b-3)+2/b=1
a=3 hours
b=6 hours
Patrick Kostjens
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Nov 26, 2016
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Patrick Kostjens
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7
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Let's call
the number of hours it takes for A to fill the pool and
the number of hours it takes for B to fill the pool.
We have
and
hence
hence
and thus
.
Kuba Suder
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Nov 28, 2016
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Kuba Suder
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