GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Oct 2018, 08:05

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

A taxi company charges $1.75 for the first quarter of a mile and fifte

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50005
A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 24 Dec 2014, 08:52
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

79% (01:47) correct 21% (02:38) wrong based on 199 sessions

HideShow timer Statistics

Tough and Tricky questions: Word Problems.



A taxi company charges $1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?

A. 4 miles
B. 4 1/4 miles
C. 4 3/4 miles
D. 5 1/2 miles
E. 6 1/4 miles

Kudos for a correct solution.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
B
Joined: 20 Feb 2013
Posts: 75
Location: India
GMAT 1: 690 Q49 V34
WE: Information Technology (Computer Software)
Reviews Badge
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 24 Dec 2014, 11:30
2
1
$1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with
Distance = 1/4 + [ (4.90 - 1.75) / 0.15 ] * 1/4 = 5 1/2
Answer D
_________________

If my post is helpful/correct, consider giving Kudos..

Manager
Manager
avatar
Joined: 21 Aug 2010
Posts: 175
Location: United States
GMAT 1: 700 Q49 V35
GMAT ToolKit User
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 24 Dec 2014, 12:14
Bunuel wrote:

Tough and Tricky questions: Word Problems.



A taxi company charges $1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?

A. 4 miles
B. 4 1/4 miles
C. 4 3/4 miles
D. 5 1/2 miles
E. 6 1/4 miles

Kudos for a correct solution.



First 1/4 mile = 1.75
Total cost = $4.9

Remaining cost after first 1/4 mile = $4.15 => 4.15/.15 = 5 1/4 miles total 5 1/2 miles


Ans D
_________________

-------------------------------------

Manager
Manager
User avatar
Joined: 10 May 2014
Posts: 138
Premium Member
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 24 Dec 2014, 13:22
1
Convert dollars to cents to make your life easier.

490 = 175 + (15q)
315 = 15q
q = 21

Therefore you´ll have 21 quarters of a mile plus the additional quarter of a mile.
That´s 22/4 miles or 5.5 miles.

Correct Answer: D
_________________

Consider giving me Kudos if I helped, but don´t take them away if I didn´t! :)

What would you do if you weren´t afraid?

Manager
Manager
avatar
Joined: 27 Jan 2013
Posts: 175
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT 1: 730 Q49 V40
GPA: 3.5
WE: Supply Chain Management (Telecommunications)
GMAT ToolKit User
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 24 Dec 2014, 22:45
Easy of calculations consider multiplying all numbers by 100 and then doing calculations orally.

Subtract 490-175==> 490-200+25==>290+25==> 315
Now divide 315/15= 21. This is the total quarter miles that you will travel with 0.15$. Hence total number of miles =21/4=5miles + 1 quarter.

Add 1st quarter for the intial 1.75$ which brings the total to 5 and 1/2 miles.
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1829
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 31 Dec 2014, 00:41
Answer = D. 5 1/2 miles

First quarter charge = 1.75

As soon as first quarter travel ends, balance = 4.90 - 1.75 = 3.15

Quarters in balance amount \(= \frac{3.15}{0.15} = 21\)

Total quarters = 1+21 = 22

Total miles \(= \frac{22}{4} = 5 \frac{2}{4} = 5 \frac{1}{2}\)
_________________

Kindly press "+1 Kudos" to appreciate :)

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50005
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 08 Jan 2015, 08:52
Bunuel wrote:

Tough and Tricky questions: Word Problems.



A taxi company charges $1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?

A. 4 miles
B. 4 1/4 miles
C. 4 3/4 miles
D. 5 1/2 miles
E. 6 1/4 miles

Kudos for a correct solution.


OFFICIAL SOLUTION:

(D) If we start out with $4.90 and have to spend $1.75 for the first quarter-mile, we will have $3.15 left to spend on quarter-mile intervals.

Since $3.15/$0.15 = 21, we can buy 21 more quarter-miles, and will travel 22 quarter miles in all:
22 × 1/4 = 5 1/2 miles.

The correct answer is choice (D).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 19 Dec 2017, 07:54
Bunuel wrote:

Tough and Tricky questions: Word Problems.



A taxi company charges $1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?

A. 4 miles
B. 4 1/4 miles
C. 4 3/4 miles
D. 5 1/2 miles
E. 6 1/4 miles


We can let x = the number of ¼-miles traveled with $4.90 and create the following equation:

1.75 + 0.15(x - 1) = 4.90

175 + 15x - 15 = 490

160 + 15x = 490

15x = 330

x = 22

We see that 22 quarter-miles can be traveled with $4.90 and 22 x ¼ = 5 ½ miles.

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12685
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 10 Jan 2018, 20:34
Hi All,

Since the answers are NOT nice 'round' numbers, you can use a variation on TESTing THE ANSWERS - but instead of using the answers that are given, you can use round numbers to eliminate options.

We're told that the first 1/4 mile costs $1.75 and each additional 1/4 mile costs $0.15. We're asked for the maximum distance that could be traveled for $4.90

Based on the answer choices, I'll start with what a 5 mile trip cost...
The first mile would cost $1.75 + 3($0.15) = $2.20
Each additional mile would cost 4($0.15) = $0.60
So a 5 mile trip would cost $2.20 + 4($0.60) = $2.20 + $2.40 = $4.60

Since we're dealing with $4.90, we will clearly end up going more than 5 miles (so we can eliminate Answers A, B and C)... but we wouldn't travel that much more than 5 miles... From here, it's fairly easy to determine that the additional $0.30 would get us an extra 1/2 mile.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

SVP
SVP
User avatar
D
Joined: 26 Mar 2013
Posts: 1837
Reviews Badge CAT Tests
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte  [#permalink]

Show Tags

New post 20 Mar 2018, 16:10
Bunuel wrote:

Tough and Tricky questions: Word Problems.



A taxi company charges $1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?

A. 4 miles
B. 4 1/4 miles
C. 4 3/4 miles
D. 5 1/2 miles
E. 6 1/4 miles

Kudos for a correct solution.


Organize unites

First mile cost =$1.75
each mile cost = $0.15
Total cost of a trip= $4.90

Setting up equation:

Cost of first mail + cost of each quarter * number of quarter (x) = 4.90

1.75 + (0.15) * x = 4.9

(0.15) * (x) = 3.15

(15) * (x) = 315....x = 21 but this number of quarters.. Converting it to miles = 21 * 1/4 = 5 1/4 (after first quarter)

Do not forget first quarter to added to the above

maximum distance = 5 1/4 + 1/4 = 5 1/2

Answer: D
GMAT Club Bot
Re: A taxi company charges $1.75 for the first quarter of a mile and fifte &nbs [#permalink] 20 Mar 2018, 16:10
Display posts from previous: Sort by

A taxi company charges $1.75 for the first quarter of a mile and fifte

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.