an assistant charges $3 per hour for first four hours and 50% more than after first 4 hours. determine the tota number of hours worked if he earned $39?
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GMAT Club Forum Index Data Sufficiency (DS)
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A certain plumber charges $92 for each job completed in 4 hours or : Data Sufficiency (DS)
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Bunuel
EXPERT'S
POST
Jun 26, 2017
00:00 ABCDE
DIFFICULTY: 35% (medium) QUESTION STATS: based on 1498 sessions
73% (01:51) correct
27% (01:55) wrong
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.
Spoiler: OA
Kudos
2 kudos, 37 bookmarks
Most Helpful Expert Reply
ScottTargetTestPrep
EXPERT'S
POST
Nov 15, 2017
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