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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] New post 01 Oct 2012, 04:22
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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.

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Re: A taxi company charges f cents for the first mile of the [#permalink] New post 01 Oct 2012, 07:38
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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] New post 01 Oct 2012, 08:22
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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

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
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Re: A taxi company charges f cents for the first mile of the [#permalink] New post 01 Oct 2012, 19:12
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f+ 9m=?
1) f + m = 90 ---->Insufficient
2) f+ 3m = 120--->Insufficient
1+2) Two equations & 2 variables - Sufficient.
Answer C
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Re: A taxi company charges f cents for the first mile of the [#permalink] New post 01 Oct 2012, 04:22
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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.

Answer: C.
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Re: A taxi company charges f cents for the first mile of the [#permalink] New post 01 Oct 2012, 05:14
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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
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Re: A taxi company charges f cents for the first mile of the [#permalink] New post 01 Oct 2012, 07:43
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Re: A taxi company charges f cents for the first mile of the [#permalink] New post 01 Oct 2012, 08:40
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Re: A taxi company charges f cents for the first mile of the [#permalink] New post 04 Oct 2012, 13:51
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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.

Answer: C.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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