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27 Feb 2026, 03:32
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
51% (02:22) correct
49%
(02:36)
wrong
based on 53
sessions
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In a certain city, the taxi fare is 8 dollars plus $1.20 per half mile or fraction thereof (any part of a half mile is charged as a full half mile). Marcia took a taxi in the city yesterday for a journey of m miles and paid an average of more than $3.00 per mile. What is the integer closest to the greatest possible value of m consistent with the pricing rule above?
A. 10
B. 11
C. 12
D. 13
E. 14
A. 10
B. 11
C. 12
D. 13
E. 14
12 Mar 2026, 08:57
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Avg. is > 3, total/m > 3, implies that - total >3m
Per the pricing rule, total price = 8 + 1.2*no. of half miles = 8 + 1.2*2m (m miles have 2m half miles) = 8 + 2.4m
Now, 8 + 2.4m > 3m, 8 > 0.6m
Max no. of miles for which this inequality holds true is for m=13 (8>7.8)
Option D
Per the pricing rule, total price = 8 + 1.2*no. of half miles = 8 + 1.2*2m (m miles have 2m half miles) = 8 + 2.4m
Now, 8 + 2.4m > 3m, 8 > 0.6m
Max no. of miles for which this inequality holds true is for m=13 (8>7.8)
Option D
