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05 Feb 2018, 06:38
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:05) correct 15% (01:03) wrong based on 27 sessions

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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.

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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, 07:31 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) _________________ You've got what it takes, but it will take everything you've got SC Moderator Joined: 22 May 2016 Posts: 1906 A laborer is paid$8 per hour for an 8-hour day and 3/2 times that rat  [#permalink]

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05 Feb 2018, 18:39
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 Answer B _________________ In the depths of winter, I finally learned that within me there lay an invincible summer. -- Albert Camus, "Return to Tipasa" Intern Joined: 20 Dec 2014 Posts: 37 A laborer is paid$8 per hour for an 8-hour day and 3/2 times that rat  [#permalink]

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05 Feb 2018, 19:57
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

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06 Feb 2018, 18:32
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
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Re: A laborer is paid $8 per hour for an 8-hour day and 3/2 times that rat &nbs [#permalink] 06 Feb 2018, 18:32 Display posts from previous: Sort by # A laborer is paid$8 per hour for an 8-hour day and 3/2 times that rat

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