It is currently 26 Feb 2020, 13:28

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Employee X is paid \$ 19.50 an hour no matter how many hours

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 9739
Followers: 202

Kudos [?]: 2385 [0], given: 9227

Employee X is paid \$ 19.50 an hour no matter how many hours [#permalink]  08 Sep 2019, 08:34
Expert's post
00:00

Question Stats:

100% (85:43) correct 0% (00:00) wrong based on 2 sessions
Employee X is paid \$ 19.50 an hour no matter how many hours he works per week. Employee Y is paid \$ 18 an hour for the first 40 hours she works in a week and is paid 1.5 times the hourly rate for every additional hour she works. On a certain week, both employees worked the same number of hours and were paid the same amount. How many hours did each employee work that week?

A. 32

B. 36

C. 40

D. 42

E. 48

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Intern
Joined: 28 Aug 2019
Posts: 40
Followers: 0

Kudos [?]: 11 [0], given: 7

Re: Employee X is paid \$ 19.50 an hour no matter how many hours [#permalink]  28 Sep 2019, 02:40
Intern
Joined: 29 Sep 2019
Posts: 17
GRE 1: Q156 V159
Followers: 0

Kudos [?]: 6 [1] , given: 1

Re: Employee X is paid \$ 19.50 an hour no matter how many hours [#permalink]  29 Sep 2019, 23:18
1
KUDOS
Let x be the number of hours Employee X worked, and y be the number of hours Employee Y worked in that week.

With two unknown variables, we need two equations.

Equation 1: x = y, since the question states they worked the same number of hours.

Equation 2: \$19.5x = \$18(40 hours) + \$27 (y -40 hours). This is the mathematical statement of the second sentence and the third sentence part that states Employee X and Employee Y were paid the same amount. \$18(40 hours) is the amount Employee Y was paid in the first 40 hours, and \$27 (y - 40 hours) is the amount Y was paid after the first 40 hours; \$27 comes about from 1.5 times \$18 (or in other words, \$18 + 9 = \$27).

Put Equation 1, x = y, into Equation 2 and it becomes \$19.5x =\$18 (40 hours) + \$27(x - 40 hours). Now, solve for x.

\$19.5x =\$18 (40 hours) + \$27(x - 40 hours)
\$19.5x = 720 (\$·hours) + \$27x - 1080 (\$·hours)
-\$7.5x = -360 (\$·hours)
x = 48 hours

This means the total number of hours Employee X worked is x, and x = 48 hours. Since per the question, both employees' worked the same number of hours, Employee Y also worked 48 hours.

48 hours is Choice E.
Re: Employee X is paid \$ 19.50 an hour no matter how many hours   [#permalink] 29 Sep 2019, 23:18
Display posts from previous: Sort by