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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 _________________ Manager  B Joined: 11 Feb 2017 Posts: 182 Re: Ahmed earns$7 an hour for the first 40 hours of work in the week, and  [#permalink]

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1
Let x be overtime hours

Previous week total money earned = 40*7 + X*10
This week total money earned = 40*7 + 2X*10

40*7 + X*10 + 40*7 + 2X*10 = 710 (Given)

X= 5

40 hours + 5 hours (Previous week)

40 hours + 10 hours (This week)

Total hours = 40+40+10+5 = 95 Hours
Retired Moderator P
Joined: 22 Aug 2013
Posts: 1428
Location: India
Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and [#permalink] Show Tags 1 First subtract his usual pay (of 40 hours per week) from 710. In these two weeks, those 80 hours (40+40) give him 80*7 =$ 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 Senior PS Moderator V Joined: 26 Feb 2016 Posts: 3335 Location: India GPA: 3.12 Re: Ahmed earns$7 an hour for the first 40 hours of work in the week, and  [#permalink]

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7$per hour for first 40 hours will make 280$ for Ahmed. Every remaining hour will fetch him 10$overtime. Given data Week1 hrs spent over working : x Week2 hrs spent over working :2x Total income over 2 weeks - 710$.

Let x be the total overtime hours.
280+ 10*x +280+ 10*2x= 710
Simplifying,3x = 15 or x=5.

Total number of hours spent
40+x(Week1 overtime)
+40+2x(Week2 overtime)
=40+5+40+10=95(Option C)
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Director  S
Joined: 21 Mar 2016
Posts: 504
Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and [#permalink] Show Tags 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
Manager  B
Joined: 02 Aug 2013
Posts: 64
Location: India
WE: Programming (Consulting)
Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and [#permalink] Show Tags Let say Ahmed worked for 40 / week. Total hrs worked for 2 weeks = 40 * 2 = 80. Ahmed earned 80 * 7 =$ 560.

But, actual earning = $710. Difference : 710 - 560 =$ 150

$10 for each extra hrs. Therefore, extra hrs = $$\frac{150}{10}$$ = 15 Now, total hrs worked = 80 + 15 = 90 hrs Ans: C Target Test Prep Representative D Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 8109 Location: United States (CA) Re: Ahmed earns$7 an hour for the first 40 hours of work in the week, and  [#permalink]

Bunuel wrote:
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 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 _________________ Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Intern  B Joined: 11 Dec 2016 Posts: 47 Re: Ahmed earns$7 an hour for the first 40 hours of work in the week, and  [#permalink]

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ScottTargetTestPrep wrote:
Bunuel wrote:
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 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 Hi ScottTargetTestPrep, Im a little confused about the highlighted part. i came up with the following equation 40(7)+10(n-40) + 40(7) + 10(2n-40)=710 SO why did we not subtract the first 40 hours? Target Test Prep Representative D Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 8109 Location: United States (CA) Re: Ahmed earns$7 an hour for the first 40 hours of work in the week, and  [#permalink]

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asfandabid wrote:
ScottTargetTestPrep wrote:
Bunuel wrote:
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 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 Hi ScottTargetTestPrep, Im a little confused about the highlighted part. i came up with the following equation 40(7)+10(n-40) + 40(7) + 10(2n-40)=710 SO why did we not subtract the first 40 hours? 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. _________________ Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: Ahmed earns$7 an hour for the first 40 hours of work in the week, and   [#permalink] 15 Feb 2019, 12:41
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