Join us for MBA Spotlight – The Top 20 MBA Fair      Schedule of Events | Register

It is currently 06 Jun 2020, 20:15

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

Sam and Chris leave City A for City B simultaneously at 6 A.

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 24 Jan 2014
Posts: 10
Schools: SMU Singapore
Sam and Chris leave City A for City B simultaneously at 6 A.  [#permalink]

Show Tags

New post Updated on: 08 Apr 2014, 02:35
6
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

72% (02:55) correct 28% (03:09) wrong based on 187 sessions

HideShow timer Statistics

Sam and Chris leave City A for City B simultaneously at 6 A.M in the morning driving in two cars at speeds of 60 mph and 80 mph respectively. As soon as Chris reaches City B, he returns back to City A along the same route and meets Sam on the way back. If the distance between the two cities is 210 miles, how far from City A did Sam and Chris meet?
A.60 miles
B.120 miles
C.30 miles
D.180 miles
E.150 miles

Originally posted by Safal on 08 Apr 2014, 02:13.
Last edited by MacFauz on 08 Apr 2014, 02:35, edited 1 time in total.
Edited title and added OA
Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 10506
Location: Pune, India
Re: Sam and Chris leave City A for City B simultaneously at 6 A.  [#permalink]

Show Tags

New post 08 Apr 2014, 03:58
4
4
Safal wrote:
Sam and Chris leave City A for City B simultaneously at 6 A.M in the morning driving in two cars at speeds of 60 mph and 80 mph respectively. As soon as Chris reaches City B, he returns back to City A along the same route and meets Sam on the way back. If the distance between the two cities is 210 miles, how far from City A did Sam and Chris meet?
A.60 miles
B.120 miles
C.30 miles
D.180 miles
E.150 miles


You can use ratios to solve it easily.

Let's say, they meet x miles away from city A. Sam has covered a distance of x miles and Chris has covered a distance of 210 + (210 - x) = (420 - x) miles.

The speeds of Sam and Chris are in the ratio 60:80 i.e. 3:4. So in the same time, they will cover distance which will be in the ratio 3:4 too.

x/(420 - x) = 3/4
7x = 1260
x = 180 miles

Answer (D)

For more on ratios used in TSD, check: http://www.veritasprep.com/blog/2011/03 ... os-in-tsd/
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Most Helpful Community Reply
VP
VP
User avatar
Joined: 02 Jul 2012
Posts: 1091
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Sam and Chris leave City A for City B simultaneously at 6 A.  [#permalink]

Show Tags

New post 08 Apr 2014, 02:37
7
1
Time taken by Chris to reach City B = 210/80 = More than 2.5 hours

In 2.5 hours, Sam travels 60*2.5 = 150 miles

So distance at which they meet should be greater than 150 miles.

Only D satisfies.

Answer is D.
General Discussion
SVP
SVP
User avatar
P
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 2052
GMAT 1: 780 Q51 V48
GRE 1: Q800 V740
Re: Sam and Chris leave City A for City B simultaneously at 6 A.  [#permalink]

Show Tags

New post 08 Apr 2014, 11:35
1
Equate the time taken (which will be equal for both).
=> x/60 = [(210) + (210-x)]/80
=> x = 180

Option (D).
_________________
GyanOne [www.gyanone.com]| Premium MBA and MiM Admissions Consulting

Awesome Work | Honest Advise | Outstanding Results

Reach Out, Lets chat!
Email: info at gyanone dot com | +91 98998 31738 | Skype: gyanone.services
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1707
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Sam and Chris leave City A for City B simultaneously at 6 A.  [#permalink]

Show Tags

New post 08 Apr 2014, 19:25
1
1
Look at the diagram, lets say they meet at point P (Which is distance x from start)

Both will take same time to reach point P

Setting up the equation

\(\frac{x}{60} = \frac{210}{80} + \frac{210-x}{80}\)

\(\frac{x}{3} = \frac{420-x}{4}\)

x = 180

Answer = D
Attachments

dis.jpg
dis.jpg [ 5.93 KiB | Viewed 3831 times ]

SVP
SVP
User avatar
P
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 2052
GMAT 1: 780 Q51 V48
GRE 1: Q800 V740
Re: Sam and Chris leave City A for City B simultaneously at 6 A.  [#permalink]

Show Tags

New post 11 Apr 2014, 19:48
When Sam and Chris meet, they have collectively travelled 210*2 = 420 miles
=> Distance from city A that they meet = 60 * (420/140) = 180 miles

Option (D).
_________________
GyanOne [www.gyanone.com]| Premium MBA and MiM Admissions Consulting

Awesome Work | Honest Advise | Outstanding Results

Reach Out, Lets chat!
Email: info at gyanone dot com | +91 98998 31738 | Skype: gyanone.services
Intern
Intern
avatar
B
Joined: 23 Jul 2016
Posts: 22
Re: Sam and Chris leave City A for City B simultaneously at 6 A.  [#permalink]

Show Tags

New post 26 Feb 2017, 11:50
please the solution in detail
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15108
Re: Sam and Chris leave City A for City B simultaneously at 6 A.  [#permalink]

Show Tags

New post 28 Mar 2020, 03:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: Sam and Chris leave City A for City B simultaneously at 6 A.   [#permalink] 28 Mar 2020, 03:11

Sam and Chris leave City A for City B simultaneously at 6 A.

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





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