Ahmed earns $7 an hour for the first 40 hours of work in the week, and $10 per hour overtime. If he worked twice as many over time hours this week than last week and his total earnings were $710 in the two weeks, how many hours did he work in total during these two weeks?

A. 45
B. 90
C. 95
D. 100
E. 105
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

First subtract his usual pay (of 40 hours per week) from 710. In these two weeks, those 80 hours (40+40) give him 80*7 = $ 560.

Remaining amount that comes from overtime hours = 710-560 = $150.

Thus, number of overtime hours (in total two weeks) = 150/10 = 15.

So total working hours in two weeks = 40*2 + 15 = 95. hence C

normal wages = 40 *7 = 280 per week..
normal wages for 2 weeks = 560
Remaining amount that comes from overtime hours = 710-560 = $150.

Thus, number of overtime hours (in total two weeks) = 150/10 = 15.
ratio of working hours = 2:1
total working hours in two weeks = 40*2 + 15 = 95.

ans C

We are given that Ahmed earns $7 an hour for the first 40 hours of work in the week and $10 per hour overtime. We can let the number of overtime hours this week = 2x and the number of overtime hours last week = x. Thus:

Money earned this week + money earned last week = 710

[7(40) + 10(2x)] + [7(40) + 10x] = 710

280 + 20x + 280 + 10x = 710

560 + 30x = 710

30x = 150

x = 5

Thus, the total hours worked were: 40 + 10 + 40 + 5 = 95 hours.

Answer: C
_________________

Because the overtime does not kick in until 40 hours have been completed. Thus, you need to subtract 40 from the total hours worked to calculate how many hours will qualify for overtime.
_________________