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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: 760 Q51 V42
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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
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (00:59) correct 9% (01:27) wrong based on 46 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

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Expert Post
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
Posts: 5839
GMAT 1: 760 Q51 V42
GPA: 3.82
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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
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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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