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26 Jun 2017, 01:31
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A certain plumber charges $92 for each job completed in 4 hours or less and$23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the two jobs?

(1) The plumber charged $92 for one of the two jobs. (2) The plumber charged$138 for one of the two jobs.
[Reveal] Spoiler: OA

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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] ### Show Tags 26 Jun 2017, 01:45 2 This post received KUDOS Since the plumber charges 92$ for less than 4 hours,
it could be for a job which finishes in 1,2,3 or 4 hours.
The additional 23$is charged for every additional hour that the plumber works. We have been asked to find out, how much the plumber charges for both the work. 1. The plumber charged$92 for one of the two jobs.
If the plumber charges 92$for one of the jobs, he could have finished the work in 1 hour or 4 hours. If he had finished the work in 1 hour, he would have 6 hours to do the other work (making the charge for the second work 92 + 2*23= 138$)
Total(Amount charged) : 92 + 138 = 230$However, If he had finished the work in 3.5 hours, he would have 3.5 hours to do the other work (making the charge for the second work 92$ only)
Total(Amount charged) : 92 + 92 = 184$Clearly insufficient 2. The plumber charged$138 for one of the two jobs.
If the plumber charges 138$for one of the jobs, he could have finished the work in 6 hours. Charges for the work(which lasted 6 hours) 92 + 2*23= 138$)
Total(Amount charged) : 92 + 138 = 230$As minimum charges for any work is 92$, if it takes less then 4 hours. (Sufficient) (Option B)
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Re: A certain plumber charges $92 for each job completed in 4 hours or [#permalink] ### Show Tags 26 Jun 2017, 07:23 1 This post received KUDOS Expert's post Top Contributor Bunuel wrote: A certain plumber charges$92 for each job completed in 4 hours or less and $23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the two jobs? (1) The plumber charged$92 for one of the two jobs.
(2) The plumber charged $138 for one of the two jobs. Target question: What was the total amount charged by the plumber for the two jobs? Given:$92 for each job completed in 4 hours or less. $23 per hour for each job completed in more than 4 hours. Total work time was 7 hours Statement 1: The plumber charged$92 for one of the two jobs
This statement doesn't FEEL sufficient, so I'll TEST some values.
There are several scenarios that satisfy statement 1. Here are two:
Case a: the plumber spent 1 hour on one job (and received $92) and spent 6 hours on the other job (at$23/hours). In this case, the TOTAL amount charged = $92 + (6)($23) = $230 Case b: the plumber spent 2 hours on one job (and received$92) and spent 5 hours on the other job (at $23/hours). In this case, the TOTAL amount charged =$92 + (5)($23) =$207
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, read my article: http://www.gmatprepnow.com/articles/dat ... lug-values

Statement 2: The plumber charged $138 for one of the two jobs. This means the plumber MUST have spent more than 4 hours on this job So, the rate charged is$23/hour
$138/23 = 6. So, the plumber spent 6 hours on this job (and received$138), which means he spent 1 hour on the other job (and received $92) So, the TOTAL amount charged =$138 + $92 =$230
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

[Reveal] Spoiler:
B

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Brent
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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] ### Show Tags 26 Jun 2017, 07:58 A certain plumber charges$92 for each job completed in 4 hours or less and $23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the two jobs? $$92X+28Y= Total amount$$ $$#X: No of hours spent (first 4 hours or less) #Y: No of hours spent in addition to first 4 hours$$ From data total number of hours after finishing two jobs = 7 (1) The plumber charged$92 for one of the two jobs.
So the plumber might have done 4 hours or less in one of the two jobs
Case1: If he spent 4 hours in 1st job X=4: Y=3 for 2nd job and
Total=92 ( 1st job 4 hours) + 92 (2nd job 3 hours) = 184

Case2: if he spent 1 hour ( <4); X=4 and Y=2
Total=92 ( 1st job 1 hour) + 92(2nd job 4 hours)+23*2(Additional 2 hours)=230

### Show Tags

15 Nov 2017, 16:26
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Expert's post
Bunuel wrote:
A certain plumber charges $92 for each job completed in 4 hours or less and$23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the two jobs?

(1) The plumber charged $92 for one of the two jobs. (2) The plumber charged$138 for one of the two jobs.

We are given that a certain plumber charges $92 for each job completed in 4 hours or less and$23 per hour for each job completed in more than 4 hours. We are also given that it took the plumber a total of 7 hours to complete two separate jobs, and we need to determine the total amount the plumber charged for the two jobs.

Statement One Alone:

The plumber charged $92 for one of the two jobs. We see that the job for which he charged$92 could be 1, 2, 3, or even 4 hours long, which means the other job was 6, 5, 4, or 3 hours, respectively. Thus, we cannot determine the total amount charged for the two jobs. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

The plumber charged $138 for one of the two jobs. We see that the job for which he charged$138 must be longer than 4 hours. Since he charges $23 per hour for a job that is longer than 4 hours, we have: 138 = 23(number of hours) 6 = number of hours Thus, the other job must have taken 1 hour, with a cost of$92. The two jobs will cost a total of $138 +$92 = $230. Statement two is sufficient to answer the question. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Kudos [?]: 1018 [1], given: 3 Re: A certain plumber charges$92 for each job completed in 4 hours or   [#permalink] 15 Nov 2017, 16:26
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