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Jane can paint the wall in J hours, and Bill can paint the

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Intern
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Joined: 29 Oct 2013
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Re: Jane can paint the wall in J hours, and Bill can paint the [#permalink]

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New post 03 Dec 2016, 09:56
Looking at the first statement:

Ra = 1/a=1/(2k)
Rb=1/b=1/(2n)
convert 4:48 to hours: 4 + 48/60 = 4 + ⅘ = 20/5 + ⅘ = 24/5
24/5 (1/2k + 1/2n) = 1
24/5 (1/2) (1/k + 1/n) = 1
12/5 (k+n)/(kn) = 1
(k+n)/(kn) = 5/12
k+n=5
kn=12

However, there are no such positive integers k and n. Is the problem ill-defined or I miss something?
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Re: Jane can paint the wall in J hours, and Bill can paint the [#permalink]

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New post 03 Dec 2016, 12:36
Hi lexxus,

This DS question is a bit more 'layered' than most DS questions. From the prompt, we know that J and B are both EVEN INTEGERS. We're asked if J and B are equal. This is a YES/NO question.

Fact 1 tells us that it takes the two people 4 4/5 hours to paint the wall together. There are only 2 possible pairs of even integers that will lead to THAT result:

6 and 24
8 and 12

In both situations, the answer to the question is NO, so Fact 1 is SUFFICIENT.

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Re: Jane can paint the wall in J hours, and Bill can paint the [#permalink]

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New post 09 Feb 2018, 00:33
Is noon always = 12pm?
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Re: Jane can paint the wall in J hours, and Bill can paint the [#permalink]

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New post 09 Feb 2018, 05:49
sucal000 wrote:
Is noon always = 12pm?


Yes, what else could it be :)
Re: Jane can paint the wall in J hours, and Bill can paint the   [#permalink] 09 Feb 2018, 05:49

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