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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] New post 04 Dec 2007, 20:37
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77% (01:56) correct 22% (02:27) wrong based on 6 sessions
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
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Re: Taxi Company PLEASE HELP [#permalink] 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] 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] 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] New post 04 Dec 2007, 21:59
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] 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] New post 05 Dec 2007, 17:52
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] 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] New post 05 Dec 2007, 20:41
Thank you a million Gmattiger. Your explaination is very helpful!
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Re: [#permalink] 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] 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] New post 23 Feb 2013, 07:32
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] 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] New post 23 Feb 2013, 08:11
fozzzy wrote:
why are we dividing by 0.2?


We need to find the number of 0.2 miles in 7.8 miles ($0.40 for each).
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Re: A certain taxi company charges $3.10 for the first 1/5 of a   [#permalink] 23 Feb 2013, 08:11
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