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A certain plumber charges $92 for each job completed

This topic has 2 expert replies and 0 member replies
jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
Joined
24 Jul 2017
Posted:
83 messages

A certain plumber charges $92 for each job completed

Post Tue Aug 01, 2017 9:54 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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.

    Official Guide question
    Answer: B

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    Post Tue Aug 01, 2017 10:21 am
    jjjinapinch 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.

    Official Guide question
    Answer: B
    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/data-sufficiency-when-plug-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: B

    Cheers,
    Brent

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    Post Wed Aug 09, 2017 11:12 am
    jjjinapinch 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.

    Official Guide question
    Answer: B
    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 charged by the plumber for the two jobs.

    Statement One Alone:

    The plumber charged $92 for one of the two jobs.

    We see that the job 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 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 and cost $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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