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# A taxi company charges f cents for the first mile of the

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A taxi company charges f cents for the first mile of the [#permalink]

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01 Oct 2012, 05:22
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A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride?

(1) The company charges $0.90 for a 2-mile ride. (2) The company charges$1.20 for a 4-mile ride.

Practice Questions
Question: 54
Page: 279
Difficulty: 600
[Reveal] Spoiler: OA

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Re: A taxi company charges f cents for the first mile of the [#permalink]

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01 Oct 2012, 05:22
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SOLUTION

A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride?

We need to find the value of $$f+9m$$ (f cents for the first mile and m cents 9 miles).

(1) The company charges $0.90 for a 2-mile ride --> $$f+m=0.9$$. Not sufficient. (2) The company charges$1.20 for a 4-mile ride --> $$f+3m=1.2$$. Not sufficient.

(1)+(2) We have 2 distinct linear equations with 2 unknowns, hence we can solve for them and get the value of $$f+9m$$. Sufficient.

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Re: A taxi company charges f cents for the first mile of the [#permalink]

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01 Oct 2012, 06:14
X is the first mile and y are the additional miles

So, $$1*x + y * 9$$ (9 because we have the additional miles less the first mile X $$10 - 1 = 9$$ )

1)$$x + 9y = 0.90 + 8y$$ ( we can't solve) INSUFF

2) $$x + 9y = 1.20 + 6y$$ INSUFF

1) + 2) we can subsistute and solve

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Re: A taxi company charges f cents for the first mile of the [#permalink]

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01 Oct 2012, 08:38
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride?

(1) The company charges $0.90 for a 2-mile ride. (2) The company charges$l.20 for a 4-mile ride.

Practice Questions
Question: 54
Page: 279
Difficulty: 600

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I think it is a small typo in statement (2): l.20 (small L) and not 1.20. Definitely looks like a 1.
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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01 Oct 2012, 08:43
EvaJager wrote:
I think it is a small typo in statement (2): l.20 (small L) and not 1.20. Definitely looks like a 1.

Typo edited. Thank you. +1.
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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01 Oct 2012, 09:22
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carcass wrote:
X is the first mile and y are the additional miles

So, $$1*x + y * 9$$ (9 because we have the additional miles less the first mile X $$10 - 1 = 9$$ )

1)$$x + 9y = 0.90 + 8y$$ ( we can't solve) INSUFF

2) $$x + 9y = 1.20 + 6y$$ INSUFF

1) + 2) we can subsistute and solve

The answer is correct, it is C.
Just something to consider: when you are already given the variables - $$f$$ and $$m$$ the prices in cents for the first mile and the additional miles, respectively, no need to define new variables, just to have the prices in dollars.
And I wouldn't suggest just picking automatically the $$x$$ and $$y$$ variables when dealing with some quantities with some specific meaning. $$f$$ from first and $$m$$ from miles are suggestive.
With $$f$$ and $$m$$ your two equations would be:
$$f+9m=90+8m$$
$$f+9m=120+6m$$
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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01 Oct 2012, 09:40
X and Y because I am more comfortable. Thanks fotr the suggest

I didn't notice the typo but for me was clear.

Good evajager
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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01 Oct 2012, 20:12
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f+ 9m=?
1) f + m = 90 ---->Insufficient
2) f+ 3m = 120--->Insufficient
1+2) Two equations & 2 variables - Sufficient.
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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04 Oct 2012, 14:51
SOLUTION

A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride?

We need to find the value of $$f+9m$$ (f cents for the first mile and m cents 9 miles).

(1) The company charges $0.90 for a 2-mile ride --> $$f+m=0.9$$. Not sufficient. (2) The company charges$1.20 for a 4-mile ride --> $$f+3m=1.2$$. Not sufficient.

(1)+(2) We have 2 distinct linear equations with 2 unknowns, hence we can solve for them and get the value of $$f+9m$$. Sufficient.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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04 Oct 2012, 15:04
Bunuel wrote:
SOLUTION

A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride?

We need to find the value of $$f+9m$$ (f cents for the first mile and m cents 9 miles).

(1) The company charges $0.90 for a 2-mile ride --> $$f+m=0.9$$. Not sufficient. (2) The company charges$1.20 for a 4-mile ride --> $$f+3m=1.2$$. Not sufficient.

(1)+(2) We have 2 distinct linear equations with 2 unknowns, hence we can solve for them and get the value of $$f+9m$$. Sufficient.

Kudos points given to everyone with correct solution. Let me know if I missed someone.

$$f$$ and $$m$$ are prices in cents, so the equations should be $$f+m=90$$ and $$f+3m=120$$.
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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10 Jan 2014, 08:22
Bunuel wrote:
A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride?

(1) The company charges $0.90 for a 2-mile ride. (2) The company charges$1.20 for a 4-mile ride.

Practice Questions
Question: 54
Page: 279
Difficulty: 600

We are given: f + 9*m = Total Cost, by the stem.

1) Tells us that f + m = 0.9, given that we have three unknowns but two equations, this is not enough.
2) This gives us f + 3m = 1.2, (which btw clearly is NOT the same info as in 1), so we have 3 unknowns and 2 equations, insufficient.

1 + 2. 3 equations and 3 unknowns, sufficient. We can add 1 and 2 together to solve for total cost, and we can add the info from the stem with one of the statements in 1 or 2 to solve for the third. C is our answer.
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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05 May 2015, 14:22
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Re: A taxi company charges f cents for the first mile of the [#permalink]

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23 Nov 2016, 17:21
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Re: A taxi company charges f cents for the first mile of the   [#permalink] 23 Nov 2016, 17:21
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