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Carmen currently works 30 hours per week at her part-time

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Carmen currently works 30 hours per week at her part-time [#permalink] New post 26 Aug 2012, 03:15
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?

(1) Her gross weekly pay is currently $225.00.
(2) An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.


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Re: Carmen currently works 30 hours per week at her part-time [#permalink] New post 31 Aug 2012, 02:50
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SOLUTION:

Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?

Let w be Carmen's gross hourly wage and t be the number of hours fewer Carmen will need to work. We need to find such t that 30w=(30-t)(w+1.5).

(1) Her gross weekly pay is currently $225.00 --> 30w=225 --> we can find w, so in 30w=(30-t)(w+1.5) we'll be left with only one unknown: t, which means that we can solve for it. Sufficient.

(2) An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage --> 1.5=0.2w. The same here: we can find w, so we can find t. Sufficient.

Answer: D.
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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!


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Re: Carmen currently works 30 hours per week at her part-time   [#permalink] 31 Aug 2012, 02:50
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