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26 Sep 2016, 07:41
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Last week Jack worked 70 hours and earned $1,260. If he earned his regular hourly wage for the first 40 hours worked, 3/2 times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage? A.$ 7.00
B. $14.00 C.$ 18.00
D. $22.00 E.$ 31.50
[Reveal] Spoiler: OA

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Re: Last week Jack worked 70 hours and earned $1,260. If he earned his re [#permalink] ### Show Tags 26 Sep 2016, 09:24 1 This post received KUDOS Let hourly wage be x$/hr
Then :
Wage for First 40hrs = x*40 $Wage for next 20hrs = 1.5*x*20$ (3/2 times hourly wage for next 20hrs)
Wage for remaining 10hrs = 2*x*10 (2 times hourly age for remaining 10 hours)

Adding them will be equal to total money earned => 90*x = 1260 $Therefore x = 14$/hr Answer (B)

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+1 Kudos if you like the solution
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Re: Last week Jack worked 70 hours and earned $1,260. If he earned his re [#permalink] ### Show Tags 26 Sep 2016, 10:03 1 This post received KUDOS Bunuel wrote: Last week Jack worked 70 hours and earned$ 1,260. If he earned his regular hourly wage for the first 40 hours worked, 3/2 times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage?

A. $7.00 B.$ 14.00
C. $18.00 D.$ 22.00
E. $31.50 Let $$x$$ be the hourly wage, so $$40 * x + 20 * 1.5 * x + 10 * 2 * x = 1,260$$ solve for $$x$$ and it's B Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 3349 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: Last week Jack worked 70 hours and earned$ 1,260. If he earned his re [#permalink]

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26 Sep 2016, 10:36
Bunuel wrote:
Last week Jack worked 70 hours and earned $1,260. If he earned his regular hourly wage for the first 40 hours worked, 3/2 times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage? A.$ 7.00
B. $14.00 C.$ 18.00
D. $22.00 E.$ 31.50

Let Regular wages be " r "

Quote:
he earned his regular hourly wage for the first 40 hours worked,

So, wages for 40 Hrs is 40r

Quote:
3/2 times his regular hourly wage for the next 20 hours worked

So, wages for 20 Hrs is $$20 r \frac{3}{2}$$ = 30r

Quote:
2 times his regular hourly wage for the remaining 10 hours worked

So, wages for 10 Hrs is 10*2r = 20r
Quote:
Jack worked 70 hours and earned $1,260. So, 40r + 20r +30r =$ 1,260

Or, 90r = $1,260 Or, r =$ 14

Hence answer will be (B) $14 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Manager Joined: 24 Oct 2013 Posts: 153 Location: India Concentration: General Management, Strategy WE: Information Technology (Computer Software) Re: Last week Jack worked 70 hours and earned$ 1,260. If he earned his re [#permalink]

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26 Sep 2016, 21:16
40x+30x+20x = 1260 =? 9x = 126

x = 14 $Option B Intern Joined: 21 Sep 2016 Posts: 38 Re: Last week Jack worked 70 hours and earned$ 1,260. If he earned his re [#permalink]

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11 Aug 2017, 23:32
1
KUDOS
Hi, Can somebody solve this question backward by considering answer choices.
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Last week Jack worked 70 hours and earned $1,260. If he earned his re [#permalink] ### Show Tags 12 Aug 2017, 06:01 1 This post received KUDOS 1 This post was BOOKMARKED Bunuel wrote Quote: Last week Jack worked 70 hours and earned$ 1,260. If he earned his regular hourly wage for the first 40 hours worked, 3/2 times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage?

A. $7.00 B.$ 14.00
C. $18.00 D.$ 22.00
E. $31.50 Saumya2403 wrote: Hi, Can somebody solve this question backward by considering answer choices. Saumya2403 : Sure. Start with C. Answer choices' numbers are in ascending order, we'll get a benchmark, and C is a round number. Answer C says regular wage is$ 18.00 per hour

If $18.00 is Jack's regular wage per hour: 1. For first block of 40 hours he earns the regular wage:$18/hour * 40 hrs = $720 2. For the second block of 20 hours he earns "3/2 times his regular hourly wage": $$\frac{3}{2}$$ *$18 = $27 per hour for the second block of 20 hours$27/hour * 20 hrs = $540 3. For the final block of 10 hours he earns two times his regular hourly wage: 2 *$18 = $36 per hour for the final block of 10 hours$36/hour * 10 hrs = $360 4. Add the totals for each time block to get total amount of money earned, which prompt says is$1,260.

$720 +$540 + $360 =$1,620. Not a match.

So $18.00 an hour as regular hourly wage is too high. Because D and E are even higher, eliminate C, D, and E Answer A would be a drastic decrease per hour. Try B =$14.00 an hour for regular wage

1. First 40 hours at regular wage:

$14/hr * 40 hrs =$560

2. Second block of 20 hours at $$\frac{3}{2}$$ times regular wage:

$$\frac{3}{2}$$ * $14 =$21/hr

($21/hr * 20 hrs) =$420

3. Final block of 10 hours at 2 times regular wage:

$14 * 2 =$28/hr

($28/hr * 10 hrs) =$280

Add the money totals for the three blocks of time: $560 + 420 +$280 = $1,260. Correct. Answer B Does that help? _________________ At the still point, there the dance is. -- T.S. Eliot Formerly genxer123 Last week Jack worked 70 hours and earned$ 1,260. If he earned his re   [#permalink] 12 Aug 2017, 06:01
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