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Alice is paid at a constant rate of $x per hour for the first 40 hours

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Math Revolution GMAT Instructor
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GMAT 1: 800 Q59 V59
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Alice is paid at a constant rate of $x per hour for the first 40 hours [#permalink]

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New post 15 Apr 2018, 18:16
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

95% (00:53) correct 5% (00:11) wrong based on 19 sessions

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[GMAT math practice question]

Alice is paid at a constant rate of $x per hour for the first 40 hours she works and $30 for each hour she works after the first 40 hours. If Alice works 48 hours and earns $920, what is the value of x?

A. $15
B. $16
C. $17
D. $18
E. $19
[Reveal] Spoiler: OA

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Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5255
GMAT 1: 800 Q59 V59
GPA: 3.82
Re: Alice is paid at a constant rate of $x per hour for the first 40 hours [#permalink]

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New post 15 Apr 2018, 18:46
=>

Total pay = (rate for first 40 hours)*40 hours + ($30)*(number of additional hours)

\(x * 40 + ( 48 – 40 ) * 30 = 920\)
\(x*40 + 8*30 = 920\)
\(x * 40 + 240 = 920\)
\(x * 40 = 680\)
\(x = \frac{680}{40} = 17\)

Therefore, C is the answer.
Answer: C
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
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"Free Resources-30 day online access & Diagnostic Test"
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Re: Alice is paid at a constant rate of $x per hour for the first 40 hours   [#permalink] 15 Apr 2018, 18:46
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Alice is paid at a constant rate of $x per hour for the first 40 hours

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