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

It is currently 17 Jan 2019, 11:44

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

A parking lot charges a flat rate of X dollars for any amount of time

  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: 52231
A parking lot charges a flat rate of X dollars for any amount of time  [#permalink]

Show Tags

New post 16 Oct 2017, 00:28
3
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:34) correct 23% (01:47) wrong based on 94 sessions

HideShow timer Statistics

A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and X/6 for each hour or fraction of an hour after the first two hours. How much does it cost to park for 5 hours and 15 minutes?

(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6

_________________

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
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4527
Location: United States (CA)
Re: A parking lot charges a flat rate of X dollars for any amount of time  [#permalink]

Show Tags

New post 17 Oct 2017, 10:55
Bunuel wrote:
A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and X/6 for each hour or fraction of an hour after the first two hours. How much does it cost to
park for 5 hours and 15 minutes?

(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6


For the first two hours, the parking lot charges X dollars. For the remaining 3 hours and 15 minutes, the parking lot will charge the same as it would if the car were parked for 4 hours; thus, it charges 4(X/6) = 4X/6 = 2X/3 dollars. Thus, the total cost for parking the car for 5 hours and 15 minutes is:

X + 2X/3 = 3X/3 + 2X/3 = 5X/3 dollars

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Senior Manager
Senior Manager
User avatar
P
Joined: 07 Jul 2012
Posts: 377
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Premium Member CAT Tests
Re: A parking lot charges a flat rate of X dollars for any amount of time  [#permalink]

Show Tags

New post 17 Oct 2017, 17:24
1
Parking lot charges for first two hours= X
Parking lot charges for the remaining 3 hours and 15 minutes= 4*\(\frac{X}{6}\)= \(\frac{2X}{3}\)

Thus, the total cost for parking the car for 5 hours and 15 minutes is:

X+\(\frac{2X}{3}\)= \(\frac{3X+2X}{3}\)= \(\frac{5X}{3}\)

Answer: C.
_________________

Kindly hit kudos if my post helps!

Manager
Manager
User avatar
B
Joined: 09 Aug 2017
Posts: 62
Location: United States
Concentration: Technology
GMAT 1: 640 Q44 V33
GMAT 2: 630 Q47 V29
WE: Research (Investment Banking)
Re: A parking lot charges a flat rate of X dollars for any amount of time  [#permalink]

Show Tags

New post 22 Oct 2017, 12:56
1
I did it this way.
-Hours 0 to 2 = x
-Hours 3,4,5 and 6 = 4*[x][/6]
-[4x][/6]+x=[5x][/3]
_________________

I'd love to hear any feedback or ways to improve my problem solving. I make a lot of silly mistakes. If you've had luck improving on stupid mistakes, I'd love to hear how you did it.

Also, I appreciate any kudos.

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2339
Re: A parking lot charges a flat rate of X dollars for any amount of time  [#permalink]

Show Tags

New post 22 Oct 2017, 13:27
Bunuel wrote:
A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and X/6 for each hour or fraction of an hour after the first two hours. How much does it cost to
park for 5 hours and 15 minutes?

(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6

I chose values.

Let X = $6 (for 2 hours)
X/6 = $1 per hr or part hr > 2

5 hrs 15 minutes costs:

$6 for 2 hours +
$4 for 3+ hours =
$10

Check choices with X = 6, and the answer needs to be 10:

(A) 3X = 18. NO

(B) 2X = 12. NO

(C) 5X/3 = 30/3 = 10. MATCH

(D) 3X/2 = 18/2 = 9. NO

(E) 7X/6 = 42/6 = 7. NO

ANSWER C
_________________

Never look down on anybody unless you're helping them up.
--Jesse Jackson

Intern
Intern
avatar
B
Status: Sky is the limit - the lower limit
Affiliations: Please hit Kudos if my posts help!
Joined: 25 Jul 2016
Posts: 5
Re: A parking lot charges a flat rate of X dollars for any amount of time  [#permalink]

Show Tags

New post 22 Oct 2017, 14:17
4
A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and X/6 for each hour or fraction of an hour after the first two hours. How much does it cost to
park for 5 hours and 15 minutes?

(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6

---
My 2 cents:
Since the charge is X dollar for the first 2 hours, and X/6 dollars for each hour or fraction of an hour after the first two hour,
i]for the first 2 hours, cost is X dollars
ii] for the next 3hours and 15 minutes, the cost will be X/6 *4 = 4X/6=2X/3 dollars(X/6 is multiplied by 4 since 3 hours and 1 fraction of the fourth hours = 4 time period)
hence for 5 hours and 15 minutes, the cost will be X+2X/3 = 5X/3 dollars.
Manager
Manager
User avatar
G
Joined: 22 May 2015
Posts: 108
Re: A parking lot charges a flat rate of X dollars for any amount of time  [#permalink]

Show Tags

New post 22 Oct 2017, 17:41
1
X+(x/6)+(x/6)+(x/6)+(x/6) = 5x/3

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
_________________

Consistency is the Key

CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3331
Location: Canada
Re: A parking lot charges a flat rate of X dollars for any amount of time  [#permalink]

Show Tags

New post 11 May 2018, 06:34
Top Contributor
Bunuel wrote:
A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and X/6 for each hour or fraction of an hour after the first two hours. How much does it cost to park for 5 hours and 15 minutes?

(A) 3X
(B) 2X
(C) 5X/3
(D) 3X/2
(E) 7X/6


2 hours: cost = x dollars
3 hours: cost = x + x/6 dollars
4 hours: cost = x + x/6 + x/6 dollars
5 hours: cost = x + x/6 + x/6 + x/6 dollars
5.25 hours: cost = x + x/6 + x/6 + x/6 + x/6 dollars

We must now simplify: x + x/6 + x/6 + x/6 + x/6 dollars
Rewrite with common denominator: 6x/6 + x/6 + x/6 + x/6 + x/6 dollars
Combine numerators: 10x/6 dollars
Simplify: 5x/3 dollars

Answer: C

Cheers.
Brent
_________________

Test confidently with gmatprepnow.com
Image

GMAT Club Bot
Re: A parking lot charges a flat rate of X dollars for any amount of time &nbs [#permalink] 11 May 2018, 06:34
Display posts from previous: Sort by

A parking lot charges a flat rate of X dollars for any amount of time

  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®.