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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 $390 less that week. Director Joined: 07 Jun 2004 Posts: 613 Location: PA Followers: 3 Kudos [?]: 549 [0], given: 22 [#permalink] ### Show Tags 24 Jan 2005, 19:53 we need to know total hours worked and the rate per hour E it is VP Joined: 18 Nov 2004 Posts: 1440 Followers: 2 Kudos [?]: 30 [0], given: 0 [#permalink] ### Show Tags 24 Jan 2005, 22:08 HongHu wrote: I say (A). Diff of 180$ 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.... SVP Joined: 03 Jan 2005 Posts: 2243 Followers: 16 Kudos [?]: 286 [0], given: 0 Re: DS [#permalink] ### Show Tags 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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25 Jan 2005, 08:40
i go for A....same reasoning as above!
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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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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?
Director
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26 Jan 2005, 13:44
Agree with A

very good question.
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Praveen

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