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# A home owner must pick between paint A, which cost \$6.00 per

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Director
Joined: 22 Aug 2007
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A home owner must pick between paint A, which cost \$6.00 per [#permalink]

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29 Aug 2007, 11:13
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A home owner must pick between 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 home owner must pay the cost of the labour at the rate of \$36.00 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 labor.

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Intern
Joined: 28 Aug 2007
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29 Aug 2007, 11:29
1) You will pay same price for paint but paint B will take longer to apply, so A will be cheaper
2) calculate how much it will cost to use paint A, then calculate how much it will cost for B, compare

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VP
Joined: 09 Jul 2007
Posts: 1098

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Location: London
Re: PAINTING room, DS, very confusing [#permalink]

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29 Aug 2007, 11:45
IrinaOK wrote:
A home owner must pick between 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 home owner must pay the cost of the labour at the rate of \$36.00 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 labor.

As far as i understand it asks us given the data which one of the paits will be cheaper to apply.

I think both combined 1 and 2 is sufficient here only. Here is what i came up with:

For A:
Ca=\$6/L
Ta--time takes to paint using Paint A
Cl=\$36/h
Pa-amount of paint A

For B:
Cb=\$4.5/L
Tb=Ta+Ta(1/3) or 4Ta/3
Cl=\$36/h
Pb-amount of paint B

Now we need to find the cheapest one by comparing the total costs of each one.

1. give only ratio of areas painted using one leater of each paint does not give us anything to solve the problem

2. gives a clue with Ta=100 and Pa=40liters

first use Data 2 to get the cost of Paint A

TCa=6*40+36*100=\$2840 now we know the total cost of Paint A.

to find TCb we need time used and amount of paint.
Tb=4Ta/3=4*100/3 or 400/3
now paint used can be found using ratios in statement 1.
40/x=4/3 so x=30liters

now use the same TC concept.
TCb=4.5*30+36*(400/3)=135+4800=4935

Now we just came to conclusion that Paint A is cheaper to use than Paint B.
Answer is C. both statemetns taken together is suff. not alone.

Normally GMAT doesnt require to solve DS problems just to find the clue that if given statements are suff. but this one might take a bit longer even until u get the clue.

Kudos [?]: 149 [0], given: 0

Director
Joined: 22 Aug 2007
Posts: 566

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29 Aug 2007, 11:51
antihero wrote:
1) You will pay same price for paint but paint B will take longer to apply, so A will be cheaper
2) calculate how much it will cost to use paint A, then calculate how much it will cost for B, compare

You are saying the answer is A, I can see how answer can be A

1-seems suff
2- insuff, cuz we don`t know nothing about amount of paint B

But the correct answer is E

By the way, it is Kaplan question

Kudos [?]: 78 [0], given: 0

Director
Joined: 22 Aug 2007
Posts: 566

Kudos [?]: 78 [0], given: 0

Re: PAINTING room, DS, very confusing [#permalink]

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29 Aug 2007, 11:57
Ravshonbek wrote:
IrinaOK wrote:
A home owner must pick between 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 home owner must pay the cost of the labour at the rate of \$36.00 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 labor.

As far as i understand it asks us given the data which one of the paits will be cheaper to apply.

I think both combined 1 and 2 is sufficient here only. Here is what i came up with:

For A:
Ca=\$6/L
Ta--time takes to paint using Paint A
Cl=\$36/h
Pa-amount of paint A

For B:
Cb=\$4.5/L
Tb=Ta+Ta(1/3) or 4Ta/3
Cl=\$36/h
Pb-amount of paint B

Now we need to find the cheapest one by comparing the total costs of each one.

1. give only ratio of areas painted using one leater of each paint does not give us anything to solve the problem

2. gives a clue with Ta=100 and Pa=40liters

first use Data 2 to get the cost of Paint A

TCa=6*40+36*100=\$2840 now we know the total cost of Paint A.

to find TCb we need time used and amount of paint.
Tb=4Ta/3=4*100/3 or 400/3
now paint used can be found using ratios in statement 1.
40/x=4/3 so x=30liters

now use the same TC concept.
TCb=4.5*30+36*(400/3)=135+4800=4935

Now we just came to conclusion that Paint A is cheaper to use than Paint B.
Answer is C. both statemetns taken together is suff. not alone.

Normally GMAT doesnt require to solve DS problems just to find the clue that if given statements are suff. but this one might take a bit longer even until u get the clue.

Yeah, that is what my answer was, incorrect though.

1 st- DOES say that the price of A/ area and B/area are the same, compare the rations of areas painted and the prices, they are equal, that is what antihero said above.

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Intern
Joined: 28 Aug 2007
Posts: 37

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29 Aug 2007, 12:08
Good one, i think answer is C, i am just starting out with GMAT so i am not used to those kind of problems yet

Kudos [?]: 5 [0], given: 0

VP
Joined: 09 Jul 2007
Posts: 1098

Kudos [?]: 149 [0], given: 0

Location: London
Re: PAINTING room, DS, very confusing [#permalink]

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29 Aug 2007, 12:13
IrinaOK wrote:
Ravshonbek wrote:
IrinaOK wrote:
A home owner must pick between 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 home owner must pay the cost of the labour at the rate of \$36.00 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 labor.

Source is GMAT math workbook, 5 th edition.

page 324, Q#24
what is the source?

sorry, KAPLAN book

Kaplan, then rumors has spread among clubbers that kaplan is not well made for gmat. but i still have no idea about that. so leave it to some guys then if they can get E.

Kudos [?]: 149 [0], given: 0

Director
Joined: 22 Aug 2007
Posts: 566

Kudos [?]: 78 [0], given: 0

Re: PAINTING room, DS, very confusing [#permalink]

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29 Aug 2007, 15:01
Ravshonbek wrote:
IrinaOK wrote:
Ravshonbek wrote:
IrinaOK wrote:
A home owner must pick between 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 home owner must pay the cost of the labour at the rate of \$36.00 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 labor.

Source is GMAT math workbook, 5 th edition.

page 324, Q#24
what is the source?

sorry, KAPLAN book

Kaplan, then rumors has spread among clubbers that kaplan is not well made for gmat. but i still have no idea about that. so leave it to some guys then if they can get E.

What would be your suggestion for good GMAT prep?

Kudos [?]: 78 [0], given: 0

VP
Joined: 09 Jul 2007
Posts: 1098

Kudos [?]: 149 [0], given: 0

Location: London
Re: PAINTING room, DS, very confusing [#permalink]

### Show Tags

29 Aug 2007, 15:13
IrinaOK wrote:
Ravshonbek wrote:
IrinaOK wrote:
Ravshonbek wrote:
IrinaOK wrote:
A home owner must pick between 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 home owner must pay the cost of the labour at the rate of \$36.00 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 labor.

Source is GMAT math workbook, 5 th edition.

page 324, Q#24
what is the source?

sorry, KAPLAN book

Kaplan, then rumors has spread among clubbers that kaplan is not well made for gmat. but i still have no idea about that. so leave it to some guys then if they can get E.

What would be your suggestion for good GMAT prep?

I would say MGMAT seven series books.
NOVA for MATH
logicreasining bible book for CR
OG's

if you need gmat materials PM me, i will try to send you some materials.
also. do 1000s.

Kudos [?]: 149 [0], given: 0

Re: PAINTING room, DS, very confusing   [#permalink] 29 Aug 2007, 15:13
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