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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]  26 Aug 2012, 02:15
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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. Practice Questions Question: 28 Page: 277 Difficulty: 650 [Reveal] Spoiler: OA _________________ Math Expert Joined: 02 Sep 2009 Posts: 27168 Followers: 4223 Kudos [?]: 40891 [1] , given: 5575 Re: Carmen currently works 30 hours per week at her part-time [#permalink] 31 Aug 2012, 01:50 1 This post received KUDOS Expert's post 3 This post was BOOKMARKED 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.

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Re: Carmen currently works 30 hours per week at her part-time [#permalink]  22 Aug 2013, 01:48
Hi,

I have a query with this question.

From option 1, after solving, we get that the new number of hours is 25 i.e, 5 hours less.

Option 2 states, that there was a 20% inc in the per hour wage. Can we use the concept of ratios here.
To keep total wage constant, if we increase per hour wage by 20%, we need to decrease the number of hours worked by 20% too.
=> New No. of Hours worked = 30-20%(30)= 24
This option does not provide the same answer as 1. Can you please explain the reason why ?
The relation used : Total Wage/month = No. of Hours worked * Wage/Hour

Thanks,
Sahil
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Re: Carmen currently works 30 hours per week at her part-time [#permalink]  10 Jan 2014, 07:07
Bunuel wrote:
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.

Practice Questions
Question: 28
Page: 277
Difficulty: 650

We are initally given the equation x*30 = Total Salary, and then the question is if we can solve (x + 1.5) * 30 = Total Salary, so we have two unknown values we need to solve for

1) Solves total salary, so now we have one equation and one unknown, which means 1 is sufficient.
2) Gives us the ability to solve for x, so now we have one equation and one variable (Total salary), this is also sufficient.

So, D.
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Re: Carmen currently works 30 hours per week at her part-time [#permalink]  15 Mar 2015, 10:03
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Re: Carmen currently works 30 hours per week at her part-time   [#permalink] 15 Mar 2015, 10:03
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