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18 Oct 2023, 09:28
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First electrician's set fee: $50
Second electrician's hourly rate: $100
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
84% (02:01) correct
16%
(02:29)
wrong
based on 926
sessions
History
Date
Time
Result
Not Attempted Yet
An individual is comparing the charges of two electricians. The first electrician charges a set fee for coming to the individual's home and charges an hourly rate that is half of the second electrician's hourly rate. The second electrician charges no fees for coming to the individual's home. The individual will have no charges other than those mentioned.
Select for First electrician's set fee and for Second electrician's hourly rate the two figures, in US dollars ($), that could be the first electrician's set fee and the second electrician's hourly rate such that both figures would result in the two electricians charging the same amount for coming to the individual's home and working for exactly one hour. Make only two selections, one in each column.
Select for First electrician's set fee and for Second electrician's hourly rate the two figures, in US dollars ($), that could be the first electrician's set fee and the second electrician's hourly rate such that both figures would result in the two electricians charging the same amount for coming to the individual's home and working for exactly one hour. Make only two selections, one in each column.
| First electrician's set fee | Second electrician's hourly rate | |
| $10 | ||
| $30 | ||
| $50 | ||
| $80 | ||
| $100 |
ShowHide Answer
Official Answer
First electrician's set fee: $50
Second electrician's hourly rate: $100
23 Oct 2023, 10:23
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An individual is comparing the charges of two electricians. The first electrician charges a set fee for coming to the individual's home and charges an hourly rate that is half of the second electrician's hourly rate. The second electrician charges no fees for coming to the individual's home. The individual will have no charges other than those mentioned.
Select for First electrician's set fee and for Second electrician's hourly rate the two figures, in US dollars ($), that could be the first electrician's set fee and the second electrician's hourly rate such that both figures would result in the two electricians charging the same amount for coming to the individual's home and working for exactly one hour. Make only two selections, one in each column.
It's tempting to answer this question by creating algebraic expressions to represent what's going on in the scenario and solving to find the fee and rates or some kind of relationship between the fee and rates of the two electricians that we could use to determine the correct answers.
However, GMAT questions are often such that we can quickly answer them by doing very little work.
In this case, answering the question is made simple by the fact that the question is that of what the fee of the first electrician and the rate of the second would have to be in order for the charges to be the same for one hour.
Since the second charges double what the first charges for one hour, the first electrician's rate for one hour must be half of the rate of the second. Thus, for the charges for one hour to be the same, the fee that the first charges has to make up the other half of the second electrician's rate.
So, the correct answers will be such that the one in the First column is half the one in the Second.
Therefore, the only possible correct answers are 50 and 100.
Correct Answer
Select for First electrician's set fee and for Second electrician's hourly rate the two figures, in US dollars ($), that could be the first electrician's set fee and the second electrician's hourly rate such that both figures would result in the two electricians charging the same amount for coming to the individual's home and working for exactly one hour. Make only two selections, one in each column.
It's tempting to answer this question by creating algebraic expressions to represent what's going on in the scenario and solving to find the fee and rates or some kind of relationship between the fee and rates of the two electricians that we could use to determine the correct answers.
However, GMAT questions are often such that we can quickly answer them by doing very little work.
In this case, answering the question is made simple by the fact that the question is that of what the fee of the first electrician and the rate of the second would have to be in order for the charges to be the same for one hour.
Since the second charges double what the first charges for one hour, the first electrician's rate for one hour must be half of the rate of the second. Thus, for the charges for one hour to be the same, the fee that the first charges has to make up the other half of the second electrician's rate.
So, the correct answers will be such that the one in the First column is half the one in the Second.
Therefore, the only possible correct answers are 50 and 100.
Correct Answer
50, 100
General Discussion
06 Mar 2024, 12:40
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Let 1st electrician be A & 2nd Electrician be B.
A - (Set fee) + x/2*hrs.
B - x * Hrs. (hourly rate)
We need to find T & x such that., @1 hr.
t + x/2=x
T=X/2
We need to find the combination where column 1 has x/2 value and column 2 has x value, which is 50 and 100
A - (Set fee) + x/2*hrs.
B - x * Hrs. (hourly rate)
We need to find T & x such that., @1 hr.
t + x/2=x
T=X/2
We need to find the combination where column 1 has x/2 value and column 2 has x value, which is 50 and 100
