Michael earns $6.00 per hour for the first 40 hours he works

Question

Michael earns $6.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. If Michael earned $324 last week, how many hours did he work?

A. 43
B. 44
C. 45
D. 46
E. 47

Bunuel · Answer

$6*40 + $12*x = $324 --> x = 7 hours.

Total working hours = 40 + 7 = 47.

Answer: E.

P.S. This question is also a perfect candidate for backsolving.

PareshGmat · Answer

Total Earned = 324

Earned for 40Hrs = 240

Rate above 40Hrs = 12

Extra Hrs worked = \frac{324-240}{12} = 7

Total worked = 40+7 = 47

RajKomanapalli · Answer

Given : 1.Micheal earns $6/h for the first 40 hours
 2.Double after that.
 3.He earned $324 this week

Let the number of extra hours be  x

equation : 6(40) + 12 x  = 324

12 x  = 324-240

x  =  \frac{84}{12}

x  = 7

Total number of hours he worked that week = 40 + x = 47

Luluhachem · Answer

My logical way of solving this problem :
6$ for 40 Hours = 240$
Then i substract 324$-240$=84$
They told us for overtime the earns per hours is double than the first 40hours
So 6$ will be 6*2=12$
Now we divide the 84$/12$=7hours
Now i add 7Hours plus the regular 40h
47 hours so the answer is E

Posted from my mobile device

Michael earns $6.00 per hour for the first 40 hours he works

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Michael earns $6.00 per hour for the first 40 hours he works

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards