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14 Sep 2009, 10:30
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A home owner must pick b/n paint A, which cost $6.00 per liter and paint B ,which costs$4.50 per liter.Paint B takes
one third longer to apply than paint A.If the home owner must pay the cost of labour at the rate $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 one liter of paint B is 4:3. (2) Paint A will require 40 liters of paint and 100 hours of labour. Please provide answer with explanation. Manager Joined: 28 Aug 2009 Posts: 77 Re: paint A and paint B [#permalink] ### Show Tags 14 Sep 2009, 11:05 E. Nothing can b deduced from "(1) The ratio of the area covered by one liter of paint A to the area covered by one liter of paint B is 4:3." Although "(2) Paint A will require 40 liters of paint and 100 hours of labour." provides sufficient info for calculating the total cost for paint A (A = 40*6 + 100*36, B = (100+100/3)*36 + X*4.5 where X= quantity of paint B is missing)but we so not have info regarding the quantity of Paint B. Hence E. OA please.. Current Student Status: What's your raashee? Joined: 12 Jun 2009 Posts: 1841 Location: United States (NC) Concentration: Strategy, Finance Schools: UNC (Kenan-Flagler) - Class of 2013 GMAT 1: 720 Q49 V39 WE: Programming (Computer Software) Re: paint A and paint B [#permalink] ### Show Tags 14 Sep 2009, 11:10 sacmanitin wrote: A home owner must pick b/n paint A, which cost$6.00 per liter and paint B ,which costs $4.50 per liter.Paint B takes one third longer to apply than paint A.If the home owner must pay the cost of labour at the rate$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 one liter of paint B is 4:3.
(2) Paint A will require 40 liters of paint and 100 hours of labour.

C?

1. You know the ratio of the area but you dont know how long it will take to paint... so INSUFF?
2. you know A will require 40 liters and 100 hours of labour. For B you know it will take 133.33 hours to apply since it takes 1/3 longer to apply. But still insuff. since you dont know how many liters of paint B you need

Combine:
so you know A's price through the paint and the labour. B you know the labour price but need the number of liters of paint. 1 gives you the ratio of the area - so the area painted using A's paint is 40 X4= 160. with that you can figure out that B needs 160/3 = 53.33 = 54 liters of paint. So SUFF.
_________________

Manager
Joined: 05 Jun 2009
Posts: 110
Re: paint A and paint B [#permalink]

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14 Sep 2009, 11:49
According to my understanding if 1 liter paint A : 1 liter paint B =4:3 in terms of area covered,

then let say A covers 4x sq feet so to cover 1 sq feet paint A required =1 /4x
B covers 3x sq feet so to cover 1 sq feet paint B requied =1/3x

so the paint required for any fixed area to cover will be 1/4x:1/3x=1/4:1/3=3:4

now we know paint A require =40 liter ,so paint B require 4/3 *40=160/3

so we know the two amounts and we know the hours also 100 hrs and 133.33 hrs
-what you guys things
Manager
Joined: 19 Jul 2009
Posts: 53
Schools: McIntire, Fuqua, Villanova, Vandy, WashingtonU
Re: paint A and paint B [#permalink]

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15 Sep 2009, 00:58
sacmanitin wrote:
A home owner must pick b/n paint A, which cost $6.00 per liter and paint B ,which costs$4.50 per liter.Paint B takes
one third longer to apply than paint A.If the home owner must pay the cost of labour at the rate $36 per hour ,which of the two paints will be cheaper to apply ?$6 * A_liters + $36 * Time_needed VS$4.50 * B_liters + $36 * 4/3 * Time_needed 6A + 36T vs 4.5B + 48T (1) Gives us ratio of A to B, but we don't know T, not enough (2) Gives us A and T, we don't know B Together suffiecient Answer is C _________________ 12/23 GMATPrep #1: 730 q50 v38 12/26 MGMAT CAT #1: 730 q50 v40 01/01 MGMAT CAT #2: 710 q51 v36 01/12 Real GMAT #1: 690... WTF?!?!?!?!?!?! ... 02/28 Real GMAT #2: ... Intern Joined: 13 Sep 2009 Posts: 16 Re: paint A and paint B [#permalink] ### Show Tags 18 Sep 2009, 09:13 Also get C From the original data : Ca=$6/lt; Cb=$4.5/lt Tb=4/3Ta Lc=$36/h

Q: which one cheaper?

St(1) Gives Aa/lt:Ab/lt=4:3 -->insuff
St(2) Gives Va=40lt; Lh=100h, only can get Total cost of using paint A no correlation to B -->insuff

St(1)&(2) Found the Total cost of A=40.$6+100.$36
Found the Vb=Aa.Va/Ab=4/3.40
Found the Tb=4/3Ta
Found total cost of B=4/3.40.$4.5+4/3.100.$36 --> suff, hence C
Manager
Joined: 10 Jul 2009
Posts: 164
Re: paint A and paint B [#permalink]

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18 Sep 2009, 11:14
"Paint B takes one third longer to apply than paint A" --> Let the time taken for paint A is t then the time taken for paint B is 1.33t

From statement 1,
Ratio of area covered by one liter of paint A to area covered by one liter of paint B is 4:3
So the ratio of paint used to paint the same area for paint A to paint B = 3:4
So cost incurred to paint a given area using paint A = quantity * time * cost
= 3 * t * 6 = 18t
Cost incurred to paint a given area using paint B = 4 * 1.33t * 4.5 = 24t

So it is cheap to use A compared to B

From statement 2,
Quantity of paint used and time taken for paint A are given. Using this cost incurred using A can be deduced but we cannot conclude on the cost for B.
So 2 alone is not sufficient.

Director
Joined: 01 Jan 2008
Posts: 622
Re: paint A and paint B [#permalink]

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29 Sep 2009, 04:44
sacmanitin wrote:
A home owner must pick b/n paint A, which cost $6.00 per liter and paint B ,which costs$4.50 per liter.Paint B takes

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11 May 2013, 16:29
Kaplan workbook says E is the answer. I got confused with the wording of this question too. Any thoughts on what score scale would be for this question (400-500, 600-700, 700+)? For me, I try to keep in mind how to calculate total price. Whenever I see a problems that have "cost per unit" I consider the "total cost = rate x time formula". If I need to compare total cost between paint A and paint B, one of the answer options should give me the time it takes for paint A to complete a task and the time it takes B to complete that same task. Or I should have the total cost but that's what the question is asking. In answer 1, I only get a ratio (remember ratios don't tell you how much the actual area is, which could help) and no time therefore insufficient. Answer 2, gives you how many liters A takes and number of hours. You don't know how many liters you need to complete the area for B though, this answer is insufficient. I think the confusing part of this question is the "1/3 longer to apply than paint A". Could it be that applying paint B can just take 1/3 longer but the total labor B takes is still uncertain? Hopefully this is a higher score question because I would just guess and move on. If it takes over 2 minutes to solve, you've gotten too many possible solutions, and you don't clearly have all your variables in the "total cost = rate x time formula" it's probably E. GMAT guru's feel free to chime in again on this one.
Math Expert
Joined: 02 Sep 2009
Posts: 39621
Re: A home owner must pick b/n paint A, which cost $6.00 per [#permalink] ### Show Tags 12 May 2013, 02:50 go2013gmat wrote: Kaplan workbook says E is the answer. I got confused with the wording of this question too. Any thoughts on what score scale would be for this question (400-500, 600-700, 700+)? For me, I try to keep in mind how to calculate total price. Whenever I see a problems that have "cost per unit" I consider the "total cost = rate x time formula". If I need to compare total cost between paint A and paint B, one of the answer options should give me the time it takes for paint A to complete a task and the time it takes B to complete that same task. Or I should have the total cost but that's what the question is asking. In answer 1, I only get a ratio (remember ratios don't tell you how much the actual area is, which could help) and no time therefore insufficient. Answer 2, gives you how many liters A takes and number of hours. You don't know how many liters you need to complete the area for B though, this answer is insufficient. I think the confusing part of this question is the "1/3 longer to apply than paint A". Could it be that applying paint B can just take 1/3 longer but the total labor B takes is still uncertain? Hopefully this is a higher score question because I would just guess and move on. If it takes over 2 minutes to solve, you've gotten too many possible solutions, and you don't clearly have all your variables in the "total cost = rate x time formula" it's probably E. GMAT guru's feel free to chime in again on this one. This is a poor quality question, so I wouldn't worry about it much. Check Ian Stewart's comment: a-home-owner-must-pick-between-paint-a-which-costs-82605.html#p912827 _________________ Re: A home owner must pick b/n paint A, which cost$6.00 per   [#permalink] 12 May 2013, 02:50
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