Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A homeowner must pick between paint A, which costs $6 per [#permalink]
19 Apr 2010, 12:59

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 3 sessions

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.

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

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."