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A taxi company charges f cents for the first mile of the [#permalink]
01 Oct 2012, 04:22

Expert's post

00:00

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

79% (02:01) correct
21% (01:08) wrong based on 152 sessions

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

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

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

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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.

_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: A taxi company charges f cents for the first mile of the [#permalink]
01 Oct 2012, 08:22

1

This post received KUDOS

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

C should be the answer

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

_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: A taxi company charges f cents for the first mile of the [#permalink]
01 Oct 2012, 04:22

Expert's post

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.

Re: A taxi company charges f cents for the first mile of the [#permalink]
04 Oct 2012, 13:51

Expert's post

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.

Answer: C.

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

Re: A taxi company charges f cents for the first mile of the [#permalink]
04 Oct 2012, 14:04

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.

Answer: C.

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.

_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: A taxi company charges f cents for the first mile of the [#permalink]
10 Jan 2014, 07:22

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.

gmatclubot

Re: A taxi company charges f cents for the first mile of the
[#permalink]
10 Jan 2014, 07:22