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A homeowner must pick between paint A, which costs $6 per

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A homeowner must pick between paint A, which costs $6 per [#permalink] New post 19 Apr 2010, 12:59
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A homeowner must pick between paint A, which costs $6 per liter, and paint B, which costs $4.50 per liter. Paint B takes one-third longer to apply than paint A. If the homeowner must pay the cost of labor at the rate of $36 per hour, which of the two paints will be cheaper to apply?

(1) The ratio of the area covered by one liter of paint A to the area covered by paint B is 4:3.

(2) Paint A will require 40 liters of paint and 100 hours of labor.
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Re: DS-question [#permalink] New post 19 Apr 2010, 14:03
IMO C
Whats the OA?

Total cost of A = 6x+ 36Ta
Total cost of B = 4.5y+ 36Tb = 4.5y+ 48 Ta ( Given Tb = 4/3 * Ta )

where x and y are quantity required.

Statement 1: This just give area covered by 1 L of A and B in ratio , thus not sufficient.
Statement 2: This gives x= 40 and Ta = 100, not sufficient as we need y as well

using statement 1 and 2 we can calculate y
let area of be painted is z,
number of liter required for A = total area/ area per litre = z/4k = 40
number of liter required for B = z/3k = 40*4/3 = y

Thus C - Both together are sufficient.

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Re: DS-question [#permalink] New post 19 Apr 2010, 14:31
E

The explanation reasons that, because labor costs are unknown, both statements are insufficient. I arrived at C as well.
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Re: DS-question [#permalink] New post 19 Apr 2010, 14:36
Please read the question again, labor cost is given to be 36$. We just need labor hours.

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Re: DS-question [#permalink] New post 19 Apr 2010, 14:57
I've read it more than a few times. Here is the explanation verbatim:

"To make an intelligent decision, we need to know which requires more paint and how much more, how long each will take, and we need some information on the labor costs. Statement (1) gives us information on which requires more paint; however, we still need the actual amount, the number of hours, and the labor costs.

Statement (2) tells us the amount of one paint and the amount of labor; we can find from the question stem the amount of labor needed for the other paint, but we still don't know how much labor costs, or how much of paint B is needed. Using both statement together, we still cannot find the labor costs. Both statements together are insufficient."

Clearly, there is an error. This is the last DS question in the Kaplan GMAT Math WorkBook.
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Re: DS-question [#permalink] New post 19 Apr 2010, 20:43
Expert's post
Huh. Something is definitely fishy here. I'll make sure this gets passed along. Thanks for pointing this out!

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Re: DS-question [#permalink] New post 20 Apr 2010, 01:18
IMO it should be C only. Lets see what other have to say.

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Re: DS-question   [#permalink] 20 Apr 2010, 01:18
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