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A taxicab fare costs x dollars for the first quarter of a mile and 1/4

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A taxicab fare costs x dollars for the first quarter of a mile and 1/4 [#permalink]

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New post 08 Jun 2016, 10:14
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A taxicab fare costs x dollars for the first quarter of a mile and 1/4*x dollars for each quarter of a mile after that. How much will the total cost be for a 3/2 mile ride?

A. 3x
B. 13/4*x
C. 10x
D. 5/4*x
E. 2.5x
[Reveal] Spoiler: OA

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Re: A taxicab fare costs x dollars for the first quarter of a mile and 1/4 [#permalink]

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New post 08 Jun 2016, 10:43
Bunuel wrote:
A taxicab fare costs x dollars for the first quarter of a mile and 1/4*x dollars for each quarter of a mile after that. How much will the total cost be for a 3/2 mile ride?

A. 3x
B. 13/4*x
C. 10x
D. 5/4*x
E. 2.5x


3/2 miles = 1+1/2 miles

1+1/2 miles have 6 1/4 miles

1st 1/4 mile will cost= x
Remaining 5 1/4 miles will cost= 5/4 x

Total cost = x + 5/4 x= 9/4 x

Please advise if I am missing something here :oops:
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Re: A taxicab fare costs x dollars for the first quarter of a mile and 1/4 [#permalink]

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New post 09 Jun 2016, 01:43
Hi bunuel

Is there a typo error somewhere in the answer choice? Coz the answer to this question should be 9x/4 but this answer choice is missing.

Solution:
Cost of 1st quarter mile = x
Remaining distance = (3/2 - 1/4) miles = 5/4 miles = 5 quarter miles
Cost of remaining 5 quarter miles = 5 (1/4 x) = 5x/4
Total cost = x + 5x/4 = 9x/4 !!! Hope that explains it.
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Re: A taxicab fare costs x dollars for the first quarter of a mile and 1/4 [#permalink]

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New post 09 Jun 2016, 03:38
Bunuel wrote:
A taxicab fare costs x dollars for the first quarter of a mile and 1/4*x dollars for each quarter of a mile after that. How much will the total cost be for a 3/2 mile ride?

A. 3x
B. 13/4*x
C. 10x
D. 5/4*x
E. 2.5x


First quarter mile - x dollars
Each succesuive quarter mile - x/4 dollars.

3/2 miles = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 miles
Total fare = x + 5*(x/4) = 9x/4 dollars.

I think there is a typo in the answer choices.
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Re: A taxicab fare costs x dollars for the first quarter of a mile and 1/4 [#permalink]

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New post 28 Aug 2017, 09:28
Bunuel wrote:
A taxicab fare costs x dollars for the first quarter of a mile and 1/4*x dollars for each quarter of a mile after that. How much will the total cost be for a 3/2 mile ride?

A. 3x
B. 13/4*x
C. 10x
D. 5/4*x
E. 2.5x



I think it should be 5/2 instead 3/2, then OA will be correct :-)

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Re: A taxicab fare costs x dollars for the first quarter of a mile and 1/4   [#permalink] 28 Aug 2017, 09:28
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