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# A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for

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A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for  [#permalink]

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03 Aug 2019, 22:14
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Difficulty:

55% (hard)

Question Stats:

65% (02:47) correct 35% (03:14) wrong based on 43 sessions

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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

TPR

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Re: A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for  [#permalink]

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05 Aug 2019, 13:17
1
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

TPR

The answer is c. \$5.50 for the first 1/5 mile. 7.50(11.4) for the remaining trip. plus \$1.80 for the waiting time.
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Re: A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for  [#permalink]

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05 Aug 2019, 13:42
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

TPR

\$5.5+ \$1.5 ((11.6*5)-1)+ \$0.20*9
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Re: A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for  [#permalink]

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06 Aug 2019, 05:03
1. For the first mile, we should divide by two-part. first, \$5.5 for the first 1/5 mile, rest 4/5 mile for \$1.5 per 1/5 mile
=\$5.5+1.5*4=11.5
2. \$1.5 for 1/5mile = \$7.5 for 1 mile
The Joan total take 8+3.6-1(first mile) =10.6 need pay 10.6*7.5=\$79.5
3. Joan let driver wait 9 minutes
wait fee \$0.2 for 1 minute
0.2*9=\$1.8
=11.5+79.5+1.8=92.8 . ===== c
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Re: A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for  [#permalink]

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11 Aug 2019, 19:02
1
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

TPR

The number of miles driven, in fifths, is:

11.6/(1/5) = 11.6 x 5 = 58.

Thus the total charge was:

5.5 + 1.5(57) + 9(0.2) = 5.5 + 85.5 + 1.8 = 92.80 dollars.

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Re: A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for  [#permalink]

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11 Aug 2019, 21:07
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

TPR

Given: 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.

1/5th of a mile = .2 miles

Total fare = \$5.5 (.2 miles) + (8+3.6-.2)*1.5/.2 + \$0.2*9 = 5.5 + 85.5 + 1.8 = \$92.8

IMO C
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Re: A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for   [#permalink] 11 Aug 2019, 21:07