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# A math problem pls help to solve

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Manager
Joined: 04 Aug 2011
Posts: 51
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A math problem pls help to solve [#permalink]

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13 Aug 2011, 06:06
00:00

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(N/A)

Question Stats:

50% (01:20) correct 50% (00:45) wrong based on 8 sessions

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If taxi fares were $1.00 for the first 1/5 mile and$0.20 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was

a) $1.56 b)$2.40
c) $3.80 d)$4.20
e) $2.80 [Reveal] Spoiler: My Doubt 1dollar=1/5mile, so 5 dollars = 1 mile then, 1/5 dollar=1/5 mile, so 1 dollar = 1mile so 3miles/7dollars, approximately equal to$4.20

where am I wrong???
[Reveal] Spoiler: OA
Math Forum Moderator
Joined: 20 Dec 2010
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Re: A math problem pls help to solve [#permalink]

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13 Aug 2011, 07:06
Jasontuyj2012 wrote:
If taxi fares were $1.00 for the first 1/5 mile and$0.20 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was

a) $1.56 b)$2.40
c) $3.80 d)$4.20
e) $2.80 1dollar=1/5mile, so 5 dollars = 1 mile then, 1/5 dollar=1/5 mile, so 1 dollar = 1mile so 3miles/7dollars, approximately equal to$4.20

where am I wrong???

I wonder why did you write "3miles/7dollars" in your solution.

Anyway, the question says:

The taxi charges $1 for the FIRST $$\frac{1}{5}miles$$. And any additional $$\frac{1}{5}mile$$ is charged at a rate of$0.20.

How many $$\frac{1}{5} miles$$ are there in 3 miles? 15, right?

1 mile has five $$\frac{1}{5} miles$$ parts.
3 miles have fifteen $$\frac{1}{5} miles$$ parts.

The first part is charged @ $1.00 per part. Rest 14 parts are charged @$0.20 per part.

Total Fare=1*$1.00+14*$0.2=$1.00+$2.8=$3.8 Ans: "C" _________________ Director Joined: 01 Feb 2011 Posts: 758 Followers: 14 Kudos [?]: 90 [0], given: 42 Re: A math problem pls help to solve [#permalink] ### Show Tags 13 Aug 2011, 15:32 In 3 miles , initial 1/5 mile charge is$1
rest of the distance = 3 - (1/5) = 14/5
rest of the distance charge = 14(0.2) = \$2.8 (as the charge is 0.2 for every 1/5 mile)

=> total charge for 3 miles = 1+2.8 = 3.8

Re: A math problem pls help to solve   [#permalink] 13 Aug 2011, 15:32
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