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If Jim earns x dollars per hour, it will take him 4 hours to

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If Jim earns x dollars per hour, it will take him 4 hours to [#permalink] New post 29 Sep 2007, 21:48
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A
B
C
D
E

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If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75
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Re: DS- tough one [#permalink] New post 29 Sep 2007, 21:58
Balvinder wrote:
If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.
(2) x + y = $43.75


B. 4x = 5y

4x - 5y = 0
x + y = $43.75

solve for x and y
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 [#permalink] New post 29 Sep 2007, 22:03
I think it is B,

1st statement just restated given information about difference in wages. INSUFF

2nd statement gives enough info to calculate price of jacket.

4x-5y=0
x+y= 43.75

SUFF
just solve system of equations

Ans: B
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 [#permalink] New post 30 Sep 2007, 00:32
x*4 = 5*y

x = 5/4*y

statement I

Tom makes 20% less per hour than Jim does.

y = 4/5*x

5*y = 4*x

5/4*y = x

will not add new information

insufficient

statement II

x = 5/4y

x + y = 43.75

5/4y+y = 43.75

10/5y = 43.75

sufficient

the answer is (B)

:)
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Re: DS- tough one [#permalink] New post 30 Sep 2007, 00:56
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Balvinder wrote:
If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75


From question: 4x=5y, find value of 4x or 5y
(1) y = .8x => 4x = 5y.... INSUFF
(2) x+y = 43.75; also 4x = 5y
solve for x or y ...SUFF

B
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Re: DS- tough one [#permalink] New post 11 Feb 2008, 09:46
Juaz wrote:
Balvinder wrote:
If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75


From question: 4x=5y, find value of 4x or 5y
(1) y = .8x => 4x = 5y.... INSUFF
(2) x+y = 43.75; also 4x = 5y
solve for x or y ...SUFF

B


thanks for reducing it down to a SOE. the damn MGMAT explanation was a mindbender...
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Re: DS- tough one   [#permalink] 11 Feb 2008, 09:46
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