At his regular hourly rate, Don had estimated the labour cos

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At his regular hourly rate, Don had estimated the labour cos [#permalink]

31 Jul 2012, 10:01

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Question Stats:

68% (04:14) correct

32% (02:40) wrong

based on 4 sessions

At his regular hourly rate, Don had estimated the labour cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and, consequently, he earned $2 per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?

(A) 28
(B) 24
(C) 16
(D) 14
(E) 12

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Re: At his regular hourly rate, Don had estimated the labour cos [#permalink]

31 Jul 2012, 10:21

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macjas wrote:

Say the regular hourly rate was r$ and estimated time was t hours, then we would have:

rt=336 and (r-2)(t+4)=336;

So, (r-2)(t+4)=rt --> rt+4r-2t-8=rt --> t=2r-4.

Now, plug answer choices for t and get r. The pair which will give the product of 336 will be the correct answer.

Answer B fits: if t=24 then r=14 --> rt=14*24=336.

Answer: B.

Hope it's clear.
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Re: At his regular hourly rate, Don had estimated the labour cos [#permalink]

01 Aug 2012, 10:39

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[336][/X] - [336][/(X+4)]= 2

Solve for X.

Ans= 24 since -28 is not a valid answer.

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Re: At his regular hourly rate, Don had estimated the labour cos [#permalink]

07 Dec 2012, 03:03

I have just worked on OG Math practice questions and hardly have I solved this question. That's why I have used Google and found you guys

sayak636 wrote:

[336][/X] - [336][/(X+4)]= 2

I have composed the same equation, however its solving has taken me for ages.

I like Bunuel's solution, but I has not guessed to do the same. I'd only slightly change the course of solving. When we get to t = 2r - 4, r easily seems to be replaced by 336/t. Now we have t = (2*336/t) - 4 and can plug answer choices to find out the correct option.

Re: At his regular hourly rate, Don had estimated the labour cos [#permalink] 07 Dec 2012, 03:03

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At his regular hourly rate, Don had estimated the labour cos

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At his regular hourly rate, Don had estimated the labour cos

At his regular hourly rate, Don had estimated the labour cos

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