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A certain taxi company charges $3.10 for the first 1/5 of a

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A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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A certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10
[Reveal] Spoiler: OA
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Re: Taxi Company PLEASE HELP [#permalink]

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New post 04 Dec 2007, 20:57
goodglory wrote:
A certain taxi company charges $3.10 for the first 1/5 of a mile plus .40 for each addtional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10


so 3.10 for first 1/5mile and .4* so how many 1/5's in 7 and 4/5 miles? well 5 per 7 and 4 for 4/5 So should be.

3.10 + (.4*5)*7 + .4*4 --> 3.10 + 14+1.6 = 18.70

D
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Re: Taxi Company PLEASE HELP [#permalink]

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New post 04 Dec 2007, 21:22
goodglory wrote:
A certain taxi company charges $3.10 for the first 1/5 of a mile plus .40 for each addtional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10


= 3.10 + (8 - 0.2) 0.4/0.2
= 3.10 + 15.6
= 18.7
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 [#permalink]

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New post 04 Dec 2007, 21:26
I am confused because 1/5 of a mile is 1.6.
1/5 of 8 miles is 1.6 and then there are 6.4 miles left?

I don't get it?!
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Re: Taxi Company PLEASE HELP [#permalink]

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New post 04 Dec 2007, 21:59
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goodglory wrote:
A certain taxi company charges $3.10 for the first 1/5 of a mile plus .40 for each addtional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10


How many 1/5 miles does 8 miles contain?
= 8/(1/5) = 40
Charge for first 1/5 mile = 3.10
Charge for remaining 39 1/5 miles = 39*.4 = 15.6
Total charge = 15.6 + 3.10 = 18.70
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Re: Taxi Company PLEASE HELP [#permalink]

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New post 04 Dec 2007, 22:45
GMAT TIGER wrote:
goodglory wrote:
A certain taxi company charges $3.10 for the first 1/5 of a mile plus .40 for each addtional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10


= 3.10 + (8 - 0.2) 0.4/0.2
= 3.10 + 15.6
= 18.7


Dear Gmatiger

Can you help me to understand why the result must be divided into 0.2?
I am confused!
Thanks,
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Re: Taxi Company PLEASE HELP [#permalink]

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sondenso wrote:
GMAT TIGER wrote:
goodglory wrote:
A certain taxi company charges $3.10 for the first 1/5 of a mile plus 0.40 for each addtional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10


= 3.10 + (8 - 0.2) 0.4/0.2
= 3.10 + 15.6
= 18.7


Dear Gmatiger

Can you help me to understand why the result must be divided into 0.2?
I am confused!
Thanks,


it is just an unitary method:

The cost per 1/5 (0.2) miles is 0.4 beyond first 1/5 (0.2) miles.
so 0.2 miles costs 0.4, then how much 1 mile costs? 2. how 0.4/0.2 = 2.
so 1 mile costs 2, then 7.8 (=8-0.2) miles cost 7.8x2 = 15.6

so total = 3.1+15.6 = 18.7
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 [#permalink]

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New post 05 Dec 2007, 19:22
fastest way for me...

8 miles * 5 = 40 fifths of a mile
40 * .40 = $16
$16 - .40 = 15.60 + 3.10 = 18.70

breaking it up like that lets you do the mental math in your head almost instantly. so much easier IMO.
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 [#permalink]

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New post 05 Dec 2007, 20:41
Thank you a million Gmattiger. Your explaination is very helpful!
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Re: [#permalink]

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New post 02 Aug 2011, 05:58
goodglory wrote:
I am confused because 1/5 of a mile is 1.6.
1/5 of 8 miles is 1.6 and then there are 6.4 miles left?

I don't get it?!


I was stuck at the same place and took me more than a 20 mins to figure it out that the 1/5 is actually a 0.2 miles NOT 1.6 miles. If it is a 1.6 miles, if you try to add 1.6 five times, you won't be able to get 8miles..
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Re: A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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New post 23 Feb 2013, 06:42
I don't understand the calculations for this problem I'm getting 3.12 when I calculate 7.8 * 0.4
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Re: A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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New post 23 Feb 2013, 07:32
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fozzzy wrote:
I don't understand the calculations for this problem I'm getting 3.12 when I calculate 7.8 * 0.4


A certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10

1/5 miles = 0.2 miles.

The cost of 8 miles long ride would be $3.10 for the first 0.2 miles plus (8-0.2)/0.2*0.4 = $3.1 + $15.6 = $18.7.

Answer: D.
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Re: A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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New post 23 Feb 2013, 08:08
why are we dividing by 0.2?
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Re: A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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New post 23 Feb 2013, 08:11
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Re: [#permalink]

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New post 16 Aug 2013, 09:18
goodglory wrote:
I am confused because 1/5 of a mile is 1.6.
1/5 of 8 miles is 1.6 and then there are 6.4 miles left?

I don't get it?!

I just find the problem about the 1.6
in this question, it says 1/5 of a mile, not 1/5 mile of a mile
you see, that's why we do not need to use 8 mile divided by 1/5
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Re: A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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New post 17 Aug 2013, 12:43
goodglory wrote:
A certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10

8-1/5 = 39/5

1/5 + 39/5 = 3.1 + 0.4 * 39 = 18.7 = (D) (Answer)
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Re: A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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Re: A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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New post 14 Nov 2016, 00:27
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goodglory wrote:
A certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10


8 Miles = 40 parts... ( Each mile = 1/5 mile )

Charges for 1st part = $ 3.10

Charges for 39 reamaining part = 0.40 * 39 = 15.60

So, Total charges for 8 miles ( ie, 40 parts ) is 18.70 ( ie, 3.10 + 15.60 )

Hence, answer will be (D)

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Re: A certain taxi company charges $3.10 for the first 1/5 of a [#permalink]

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New post 16 Nov 2016, 09:00
goodglory wrote:
A certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?

A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10


We know that for the first 1/5 mile of the 8-mile trip, the taxi company charges $3.10. For the next 7 4/5 miles, each 1/5 of a mile will cost $0.40. We need to find out how many 1/5s are in 7 4/5.

Since 7 4/5 = 39/5, there are 39 1/5s in 7 4/5. Therefore, the total cost of the 8-mile trip would be:

$3.10 + 39($0.40)

$3.10 + $15.60

$18.70

Answer: D
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Re: A certain taxi company charges $3.10 for the first 1/5 of a   [#permalink] 16 Nov 2016, 09:00
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