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A certain plumber charges $92 for each job completed in 4 hours or
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Bunuel
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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  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.
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Re: A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  15 Nov 2017, 16:26
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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
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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  26 Jun 2017, 01:45
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Since the plumber charges 92$ 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] New post  26 Jun 2017, 07:23
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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

Answer:
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B


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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  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

Two different answers NS

St2:The plumber charged $138 for one of the two jobs.
Six hours spent on one of the projects and 1 hour on the other so case 1 from above is avoided
Total amount=230
Suff

Option B
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[#permalink] New post  26 Jun 2017, 08:00
I - just tells us one job was done in less than 4 hours. NS.

II - tells us the exact time it took for one of the jobs. As there are only two for a given time, We can answer the question.

Answer - B

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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  27 May 2018, 23:16
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ScottTargetTestPrep wrote:
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




What I don't understand is he could have charged $138 in 2 ways :

1. if he worked for 1.5 hours then he will charge 92*1.5= 138 so for remaining 5.5 hrs he charged 23*5.5= 126.5 . so total charged amount will be 138+126.5=264.5$

2. he worked for 6 hrs and charged 23*6= 138 and for next 1 hr he charged 92$ so total charged amount is 92+138= 230$ .... so we are not getting any unique answer so how come statement b alone is sufficient??????
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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  15 Jun 2019, 18:39
As given 4hr or less = 92$ and for each extra hr = 23 $

2 jobs = 7 hr

so, 3 combination there 7 hr = 6+ 1 , 5 + 2 & 4 + 3

1. for 1 job = 92 $

as per three combination above all three having less than 4 hr working

for example , 6 hr ,1hr combination , 1 hr = 92 & 6 hr = 92 + 23 + 23

same for other two combinations so, one answer not sufficient


2.For 1 job = 138 $

as per three combination of jobs

6,1 combination = 6 (92 + 23 + 23 =138 ) and other 1 = 92

easily identified the combination

Hence B is Corerct
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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  09 Nov 2020, 02:37
This is a great problem, thanks for sharing. My answer is B, but I won't write a solution because my solution is similar to the comment above. If we talk about plumbers, I think that this is a very good job and it is always in demand. And a plumber will never be out of work, even in such difficult times. So, I wanted to learn more about this and found interesting information about how to become a plumber and get a license in 2 months. And I'm thinking about taking these courses.
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Re: A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  15 Jan 2021, 07:42
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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.



(1) another job may take 2-6 hours; Insufficient.

(2) For the first 4 hours the plumber take $92 rest dollar is 138-92=46, which is given for 2 hours. So the hour left for another job (7-6) =1, which will require $92. Total amount =138+92=$230; Sufficient.

The answer is B
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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  29 Apr 2021, 11:19
I didn't understand this task, even after reading all answers. However, I have called plumbers in real life. Where have you seen such prices? Living in Sydney, I have learned to appreciate all jobs, especially plumbing services. It's complicated to find licensed plumbers for a low cost, especially in winter. Only guys from https://www.wilcoplumbing.com.au/plumber-lane-cove/ are always ready to help their clients. You can compare the prices from the task and on their website(please, consider that they have the best prices on the market). Still, help me, someone, to explain the task.
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Re: A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  06 May 2021, 22:16
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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.


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Re: A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  06 May 2021, 22:27
preethikakade7 wrote:
ScottTargetTestPrep wrote:
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




What I don't understand is he could have charged $138 in 2 ways :

1. if he worked for 1.5 hours then he will charge 92*1.5= 138 so for remaining 5.5 hrs he charged 23*5.5= 126.5 . so total charged amount will be 138+126.5=264.5$

2. he worked for 6 hrs and charged 23*6= 138 and for next 1 hr he charged 92$ so total charged amount is 92+138= 230$ .... so we are not getting any unique answer so how come statement b alone is sufficient??????

I have the same question. @Bunnel Could you please help us clarify?

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A certain plumber charges $92 for each job completed in 4 hours or [#permalink] New post  09 May 2021, 05:52
ntngocanh19 wrote:
ScottTargetTestPrep wrote:
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



What I don't understand is he could have charged $138 in 2 ways :

1. if he worked for 1.5 hours then he will charge 92*1.5= 138 so for remaining 5.5 hrs he charged 23*5.5= 126.5 . so total charged amount will be 138+126.5=264.5$

2. he worked for 6 hrs and charged 23*6= 138 and for next 1 hr he charged 92$ so total charged amount is 92+138= 230$ .... so we are not getting any unique answer so how come statement b alone is sufficient??????

I have the same question. @Bunnel Could you please help us clarify?




ntngocanh19, the first way that you're suggesting is wrong. If he works for 1.5 hours, then he will charge $92 and not $138. He isn't charging $92 per hour. He has a flat rate of $92 for any job that takes 4 or less than 4 hours. Also, the rate for any hours exceeding 4 is an hourly rate. The total amount charged for 4.5 hours will be equal to the total amount charged for 5 hours.
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