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16 Sep 2014, 01:16
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The rental charge for a car is 34 cents for the first \(\frac{1}{4}\) mile driven and then 6 cents for each additional \(\frac{1}{5}\) mile driven beyond the initial \(\frac{1}{4}\) mile. If a man paid $1.24 for rental charges, how many miles did he drive?
A. 2.50
B. 3.00
C. 3.25
D. 3.75
E. 4.00
A. 2.50
B. 3.00
C. 3.25
D. 3.75
E. 4.00
16 Sep 2014, 01:16
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Official Solution:
The rental charge for a car is 34 cents for the first \(\frac{1}{4}\) mile driven and then 6 cents for each additional \(\frac{1}{5}\) mile driven beyond the initial \(\frac{1}{4}\) mile. If a man paid $1.24 for rental charges, how many miles did he drive?
A. 2.50
B. 3.00
C. 3.25
D. 3.75
E. 4.00
To determine the additional miles driven beyond the first quarter-mile, we first subtract the charge for the initial \(\frac{1}{4}\) mile ($0.34) from the total charge ($1.24), which gives $0.90.
Dividing this by the rate of $0.06 for each \(\frac{1}{5}\) mile segment, we find the driver traveled 15 segments of \(\frac{1}{5}\) mile, or \(15*\frac{1}{5}=3\) miles. Including the initial \(\frac{1}{4}\) mile, the overall distance driven is 3.25 miles.
Answer: C
The rental charge for a car is 34 cents for the first \(\frac{1}{4}\) mile driven and then 6 cents for each additional \(\frac{1}{5}\) mile driven beyond the initial \(\frac{1}{4}\) mile. If a man paid $1.24 for rental charges, how many miles did he drive?
A. 2.50
B. 3.00
C. 3.25
D. 3.75
E. 4.00
To determine the additional miles driven beyond the first quarter-mile, we first subtract the charge for the initial \(\frac{1}{4}\) mile ($0.34) from the total charge ($1.24), which gives $0.90.
Dividing this by the rate of $0.06 for each \(\frac{1}{5}\) mile segment, we find the driver traveled 15 segments of \(\frac{1}{5}\) mile, or \(15*\frac{1}{5}=3\) miles. Including the initial \(\frac{1}{4}\) mile, the overall distance driven is 3.25 miles.
Answer: C
19 Oct 2023, 01:34
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
