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

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Manager
Joined: 20 Mar 2005
Posts: 169

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If Jim earns x dollars per hour, it will take him 4 hours to [#permalink]

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29 Sep 2007, 22:48
00:00

Difficulty:

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Question Stats:

33% (00:00) correct 67% (00:00) wrong based on 3 sessions

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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

Kudos [?]: 104 [0], given: 0

Director
Joined: 03 May 2007
Posts: 867

Kudos [?]: 271 [0], given: 7

Schools: University of Chicago, Wharton School

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29 Sep 2007, 22:58
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

Kudos [?]: 271 [0], given: 7

Senior Manager
Joined: 27 Aug 2007
Posts: 253

Kudos [?]: 12 [0], given: 0

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29 Sep 2007, 23:03
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

Kudos [?]: 12 [0], given: 0

VP
Joined: 08 Jun 2005
Posts: 1143

Kudos [?]: 254 [0], given: 0

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30 Sep 2007, 01:32
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

insufficient

statement II

x = 5/4y

x + y = 43.75

5/4y+y = 43.75

10/5y = 43.75

sufficient

Kudos [?]: 254 [0], given: 0

Director
Joined: 18 Jul 2006
Posts: 523

Kudos [?]: 71 [1], given: 0

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30 Sep 2007, 01:56
1
KUDOS
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

Kudos [?]: 71 [1], given: 0

CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1076 [0], given: 4

Location: New York City

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11 Feb 2008, 10:46
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...
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

Kudos [?]: 1076 [0], given: 4

Re: DS- tough one   [#permalink] 11 Feb 2008, 10:46
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