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09 Apr 2024, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
74% (02:43) correct
26%
(03:10)
wrong
based on 166
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History
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A taxi service charges $5.50 for the first 1/5th of a mile, $1.50 for each additional 1/5th of a mile, and 20 cents per minute of waiting time. Joan took a cab from her place to a flower shop 8 miles away, where she bought a bouquet, then another 3.6 miles to her mother’s place. The driver had to wait 9 minutes while she bought the bouquet. What was the fare?
A. $20
B. $120.20
C. $92.80
D. $91
E. $90
A. $20
B. $120.20
C. $92.80
D. $91
E. $90
09 Apr 2024, 07:10
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Waiting Time Cost: \(9*0.2 = 1.8\)
Travelling Cost: As the initial \(\frac{1}{5}\) mile is charged at $5.5, and the remainder of the trip is charged at $1.5 per \(\frac{1}{5}\) mile, we can multiply each of the mile distances by 5 to create a distance-unit which is easy to work with.
Distance to the flower shop: \(8*5 = 40\) \(\frac{1}{5}\)th mile units
Distance to mother's place: \(\frac{36}{10}*5 = 18\) \(\frac{1}{5}\)th mile units
Total \(\frac{1}{5}\)th mile units: \(40+18 = 58\)
Cost: \(5.5 + (1.5*57) = 91\)
Total Cost of Fare: \(1.8 + 91 = 92.8\)
ANSWER C
Travelling Cost: As the initial \(\frac{1}{5}\) mile is charged at $5.5, and the remainder of the trip is charged at $1.5 per \(\frac{1}{5}\) mile, we can multiply each of the mile distances by 5 to create a distance-unit which is easy to work with.
Distance to the flower shop: \(8*5 = 40\) \(\frac{1}{5}\)th mile units
Distance to mother's place: \(\frac{36}{10}*5 = 18\) \(\frac{1}{5}\)th mile units
Total \(\frac{1}{5}\)th mile units: \(40+18 = 58\)
Cost: \(5.5 + (1.5*57) = 91\)
Total Cost of Fare: \(1.8 + 91 = 92.8\)
ANSWER C
