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Working together, Max and Mandy painted the living room in six hours.

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Working together, Max and Mandy painted the living room in six hours. [#permalink]

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New post 16 Sep 2010, 07:29
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  15% (low)

Question Stats:

76% (01:08) correct 24% (01:35) wrong based on 204 sessions

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Working together, Max and Mandy painted the living room in six hours. How long would it have taken for Max to paint the room by himself?

(1) Mandy paints twice as fast as Max does.
(2) If Max had left when the job was half finished, it would have taken Mandy hours 4 1/2 to finish the job by herself.
[Reveal] Spoiler: OA

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Re: Working together, Max and Mandy painted the living room in six hours. [#permalink]

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New post 16 Sep 2010, 07:39
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(1) Sufficient
If Mandy takes x hours on her own, Max takes 2x
So we know that 1/x + 1/2x = 1/6
We can solve for x

(2) Sufficient
Mandy takes 4.5hours alone to finish half
So Mandy needs 9hours to finish
So 1/9 + 1/(Max) = 1/6
Again we can solve to get how fast Max paints


Answer : D
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Re: Working together, Max and Mandy painted the living room in six hours. [#permalink]

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New post 16 Jan 2011, 07:55
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Working together: \(\frac{Max*Mandy}{Max+Mandy} = 6\)

1) Mandy paints twice as fast as Max does. So Mandy takes half the time that Max does.

\(Mandy = \frac{Max}{2}\)

no need to solve further as we already have two equations. SUFFICIENT.

2) Mandy took \(4\frac{1}{2}\) hrs to finish \(\frac{1}{2}\) job. So Mandy takes 9hrs to complete the job. Using this info, can solve the time of Max. SUFFICIENT

HTH

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Re: Working together, Max and Mandy painted the living room in six hours. [#permalink]

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New post 20 Sep 2014, 20:45
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Re: Working together, Max and Mandy painted the living room in six hours. [#permalink]

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New post 31 Aug 2017, 19:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Working together, Max and Mandy painted the living room in six hours.   [#permalink] 31 Aug 2017, 19:01
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Working together, Max and Mandy painted the living room in six hours.

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