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

It is currently 11 Dec 2018, 01:11

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

Two cars start at the same time from opposite ends of a highway that

  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: 51096
Two cars start at the same time from opposite ends of a highway that  [#permalink]

Show Tags

New post 02 Jun 2016, 03:35
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (01:07) correct 11% (02:03) wrong based on 140 sessions

HideShow timer Statistics

Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?

(A) 1
(B) 1.2
(C) 1.25
(D) 1.35
(E) 1.5

_________________

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

Senior Manager
Senior Manager
User avatar
Joined: 18 Jan 2010
Posts: 252
Re: Two cars start at the same time from opposite ends of a highway that  [#permalink]

Show Tags

New post 02 Jun 2016, 03:50
1
Bunuel wrote:
Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?

(A) 1
(B) 1.2
(C) 1.25
(D) 1.35
(E) 1.5



This is a representative problem of relative speed.

As cars are moving in opposite directions their speeds will be added. So their relative speeds: 16+14 = 30mph

Total distance to be covered = 45 miles.

Time taken would be: \(\frac{45 miles}{30mph}\) = 1.5 hours

E is the answer.
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 848
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: Two cars start at the same time from opposite ends of a highway that  [#permalink]

Show Tags

New post 02 Jun 2016, 05:20
Bunuel wrote:
Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?

(A) 1
(B) 1.2
(C) 1.25
(D) 1.35
(E) 1.5


Time they will meet = total distance/ relative speed= 45/14+16= 45/30= 1.5

Answer is E
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Director
Director
User avatar
B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 537
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)
Re: Two cars start at the same time from opposite ends of a highway that  [#permalink]

Show Tags

New post 05 Jun 2016, 12:35
Bunuel wrote:
Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?

(A) 1
(B) 1.2
(C) 1.25
(D) 1.35
(E) 1.5



Let me assume that they meet after x hour

So for the First car ,traveled distance until they meet=14x mile

and for the Second car,traveled distance until they meet=16x mile

So,Total traveled distance=14x+16x=45 ,so x=\(\frac{3}{2}\)=1.5 hour

Correct answer E
_________________

Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

Intern
Intern
avatar
B
Joined: 04 Apr 2016
Posts: 2
Reviews Badge
Re: Two cars start at the same time from opposite ends of a highway that  [#permalink]

Show Tags

New post 05 Jun 2016, 12:46
Speed R=14+16=30
Total Distance=45
so, Time when they meet =45/30=1.5h
Correct answer is E.
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 796
Concentration: Strategy, General Management
Premium Member
Re: Two cars start at the same time from opposite ends of a highway that  [#permalink]

Show Tags

New post 06 Jun 2016, 02:49
relative speed = (16+14) = 30 mph (since they are travelling towards each other)
time = distance/speed = 45/30=3/2=1.5
Director
Director
User avatar
G
Joined: 24 Nov 2015
Posts: 521
Location: United States (LA)
Reviews Badge
Re: Two cars start at the same time from opposite ends of a highway that  [#permalink]

Show Tags

New post 15 Jun 2016, 12:55
We have to calculate the time they meet after beginnning their journey
Distance = 45 miles
Relative speed for 2 vehicles travelling in opposite directions is the sum of their speeds

Time = \(\frac{distance}{speed}\) =\(\frac{45}{(14+16)}\) = 1.5hrs

Correct Answer - E
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: Two cars start at the same time from opposite ends of a highway that  [#permalink]

Show Tags

New post 26 Feb 2018, 09:41
Bunuel wrote:
Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?

(A) 1
(B) 1.2
(C) 1.25
(D) 1.35
(E) 1.5


We’ll use the distance formula d = r x t. We know that the sum of the distances that the two cars travel will total 45 miles. Letting t = the time it takes for the two cars to meet, we can create the following equation:

14t + 16t = 45

30t = 45

t = 45/30 = 3/2 = 1.5

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

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

GMAT Club Bot
Re: Two cars start at the same time from opposite ends of a highway that &nbs [#permalink] 26 Feb 2018, 09:41
Display posts from previous: Sort by

Two cars start at the same time from opposite ends of a highway that

  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®.