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05 Feb 2018, 06:31
Bunuel wrote:
A laborer is paid $8 per hour for an 8-hour day and 3/2 times that rate for each hour in excess of 8 hours in a single day. If the laborer received$80 for a single day's work, how long did he work on that day?

(A) 6 hr. 40 min.

(B) 9 hr. 20 min.

(C) 9 hr. 30 min.

(D) 9 hr. 40 min.

(E) 10 hr.

We are told that the laborer is paid $8 per hour for the first 8 hours. As he is paid $$\frac{3}{2}$$ the rate for the next few hours, he will get paid $$\frac{3}{2}*8 = 12$$ for the remaining hours. Since he is paid$80, the total number of hours can be calculated as follows

$$8*8 + 12*x = 80$$ -> x = $$\frac{16}{12}$$ -> x=$$\frac{4}{3} = 1\frac{1}{3}$$ hours

Converting into minutes - 1 hour 20 minutes.

Therefore, the total time that the laborer works is 9 hour 20 minutes(Option B)
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A laborer is paid $8 per hour for an 8-hour day and 3/2 times that rat [#permalink] ### Show Tags 05 Feb 2018, 17:39 Bunuel wrote: A laborer is paid$8 per hour for an 8-hour day and 3/2 times that rate for each hour in excess of 8 hours in a single day. If the laborer received $80 for a single day's work, how long did he work on that day? (A) 6 hr. 40 min. (B) 9 hr. 20 min. (C) 9 hr. 30 min. (D) 9 hr. 40 min. (E) 10 hr. Normal wage =$8 per hour
Overtime wage = $8 *$$\frac{3}{2}$$ =$12 per hour

The laborer received $80 for one day. Normal day's pay: (8 hours *$8 per hr) = $64 Extra PAY for that day:$80 - $64 =$16

Normal day = 8 hours
Extra hours?
$$\frac{TotalAmountExtra}{AmountPerHour}$$ = number of extra hours

$$\frac{16}{12} = \frac{4}{3} = 1\frac{1}{3}$$ hours extra

Total HOURS? 8 + 1 = 9

MINUTES? Multiply any fraction of an hour to calculate minutes
$$\frac{1}{3} * 60 = 20$$ minutes

Total time worked: 9 hours, 20 minutes

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05 Feb 2018, 19:45
MT1988 wrote:
Confused with option B and C
As the HR is not completed would the standard rate apply or the increased rate apply?

Would chose B

Sent from my iPhone using GMAT Club Forum

MT1988 , as soon as the laborer meets the condition that allows him to receive increased (not standard) pay, he receives the increased pay rate for the rest of that day.

The condition -- the event that raises his hourly wage for the rest of that day -- is not whether any single hour is over.

The condition is in the question.

Hope that helps.
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Re: A laborer is paid $8 per hour for an 8-hour day and 3/2 times that rat [#permalink] ### Show Tags 06 Feb 2018, 17:32 Bunuel wrote: A laborer is paid$8 per hour for an 8-hour day and 3/2 times that rate for each hour in excess of 8 hours in a single day. If the laborer received $80 for a single day's work, how long did he work on that day? (A) 6 hr. 40 min. (B) 9 hr. 20 min. (C) 9 hr. 30 min. (D) 9 hr. 40 min. (E) 10 hr. We can create the following equation in which n = the number of hours worked and (n - 8) is the number of hours worked in excess of 8 hours: 80 = 8(8) + (8 x 3/2)(n - 8) 80 = 64 + 12(n - 8) 16 = 12n - 96 112 = 12n 112/12 = 28/3 = 9 1/3 hours = 9 hours and 20 minutes Answer: B _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Re: A laborer is paid$8 per hour for an 8-hour day and 3/2 times that rat   [#permalink] 06 Feb 2018, 17:32
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