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In one week a construction worker worked more than 40 hours,

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VP
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In one week a construction worker worked more than 40 hours, [#permalink]

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24 Jan 2005, 18:02
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In one week a construction worker worked more than 40 hours, and was paid two times his regular hourly rate for every hour worked in excess of 40 hours. If he earned \$780, how many hours did he work in that week?

(1) If he had worked 6 more hours that week, his earnings would have been \$960.
(2) If he had worked 20 fewer hours that week, his earnings would have been \$390 less that week.

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Director
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24 Jan 2005, 19:53
we need to know total hours worked and the rate per hour

E it is

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VP
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24 Jan 2005, 22:08
HongHu wrote:
I say (A).

Diff of 180 \$ is coming from 6 hrs....so hr rate = 30\$/hr....but we don't know if it is rate of 40+ hrs or <=40 hrs.

Scenario 1:
If it is 40 hr rate then....let's say he does x hrs in that week, where x <=40

30*X = 960 .....X = 32 hrs...meaning he wud have worked....
32-6 = 26 hrs

Scenario 2:

If the above rate is for > 40 hrs....then let's say he works for X hrs extra originally, where total hrs if > 40....X representing the additional hrs ,now

40*15 (for first 40 hrs) + (X+6) *30 = 960

20 + X+6 = 32 ....X = 6 hrs.....so original hrs....40+6 = 46 hrs

Scenario 1 yields different result as 2...so insuff....

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SVP
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24 Jan 2005, 22:14
MA wrote:
In one week a construction worker worked more than 40 hours, and was paid two times his regular hourly rate for every hour worked in excess of 40 hours. If he earned \$780, how many hours did he work in that week?

(1) If he had worked 6 more hours that week, his earnings would have been \$960.
(2) If he had worked 20 fewer hours that week, his earnings would have been \$390 less that week.

The 960-780 is earned through over time pay.

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Current Student
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Schools: Wharton'11 HBS'12

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25 Jan 2005, 08:40
i go for A....same reasoning as above!

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VP
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25 Jan 2005, 08:45
HongHu wrote:
MA wrote:
In one week a construction worker worked more than 40 hours, and was paid two times his regular hourly rate for every hour worked in excess of 40 hours. If he earned \$780, how many hours did he work in that week?

(1) If he had worked 6 more hours that week, his earnings would have been \$960.
(2) If he had worked 20 fewer hours that week, his earnings would have been \$390 less that week.

The 960-780 is earned through over time pay.

U r right....missed the part where the stem says...worker already worked for > 40 hrs.....Ans shud be "A"

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Intern
Joined: 26 Jan 2005
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26 Jan 2005, 08:46
Statement 1:
Let the hourly rate be y.
Let him work for x extra hours after 40.

Therefore, 40y+(2y)*x=780
and 40y+(2y)*(x+6)=960

Therfore, 12y=180
Thats, y = 15.
Therefore, 15 dollars/hour is the normal rate and 30 dollars/hour is the overtime rate.

Statement 2:
When it says that he "worked 20 fewer hours that week", what does that mean? Does it mean that he worked for 40-20 hours that week? I dont get it. Anyone explain the second statement please?

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Director
Joined: 25 Jan 2004
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26 Jan 2005, 13:44
Agree with A

very good question.
_________________

Praveen

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26 Jan 2005, 13:44
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