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A taxicab charges $1.00 for the first one-fifth mile of a

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Director
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A taxicab charges $1.00 for the first one-fifth mile of a [#permalink] New post 20 Apr 2008, 11:05
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A taxicab charges $1.00 for the first one-fifth mile of a trip and $0.20 for each following one-fifth mile or part thereof. If a trip is 2.5 miles long, what is the fare?

(A) $2.60
(B) $3.10
(C) $3.20
(D) $3.40
(E) $3.60
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Re: PS: Confused with the question [#permalink] New post 20 Apr 2008, 11:10
determine number of fifths
x/5=2.5
x=12.5 fifths
subtract one fifth from 12.5 because different rate but round up "part thereof"
12*(.20)+1=3.40

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Re: PS: Confused with the question [#permalink] New post 20 Apr 2008, 11:12
"or part thereof" means we round up to the next 1/5 or 0.2 of a mile on a trip

for starters, this means a 2.5 mile trip is 2.6 miles as far as the fare is concerned

take the "first one-fifth mile" to be $1.00 and we have 2.3 miles (2.4 for the purpose of solving) remaining in this trip...

2.4 / 0.2 = 12 more one-fifths remaining...

$1.00 + 12 * $0.20 = $3.40

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Re: PS: Confused with the question [#permalink] New post 20 Apr 2008, 11:13
prasannar wrote:
A taxicab charges $1.00 for the first one-fifth mile of a trip and $0.20 for each following one-fifth mile or part thereof. If a trip is 2.5 miles long, what is the fare?

(A) $2.60
(B) $3.10
(C) $3.20
(D) $3.40
(E) $3.60


D


1 + 4*(0.2) + 5*(0.2) + 3*(0.2) = 3.4
Re: PS: Confused with the question   [#permalink] 20 Apr 2008, 11:13
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