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In a certain bathtub, both the cold-water and the hot-water

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Re: In a certain bathtub, both the cold-water and the hot-water  [#permalink]

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New post 17 Nov 2016, 14:43
First ever post, hope it's somewhat of a helpful one

The way I thought about S#3 was this...

Cold water leak will fill a bucket (B) in C hours

Hot water leak will fill a bucket (B) in H hours.

Together, the two leaks will fill two buckets (2B).

C+H=2B ----> C/2 + H/2 = B

Got it wrong but after the fact, this is what helped me understand that the combined time "t" was between C/2 and H/2
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Re: In a certain bathtub, both the cold-water and the hot-water  [#permalink]

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New post 23 Aug 2018, 13:09
we can treat as t/2 is harmonic mean of c and h which leaves III is true

t= ch/(c+h) , if t/2 then t = 2hc/(c+h) which is formula for harmonic mean of c and h and given c<h, which leaves c<t/2<h
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Re: In a certain bathtub, both the cold-water and the hot-water  [#permalink]

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New post 14 Oct 2018, 12:42
Any mean of two numbers is always between the two numbers, so c<2ch/c+h<h and c/2<ch/c+h<h/2.
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Re: In a certain bathtub, both the cold-water and the hot-water &nbs [#permalink] 14 Oct 2018, 12:42

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In a certain bathtub, both the cold-water and the hot-water

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