Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 27 May 2017, 03:58

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Two cars start off at the same point on a straight highway;

Author Message
TAGS:

### Hide Tags

Manager
Joined: 04 Jan 2013
Posts: 80
Followers: 0

Kudos [?]: 11 [0], given: 1

Two cars start off at the same point on a straight highway; [#permalink]

### Show Tags

21 Mar 2013, 15:01
00:00

Difficulty:

65% (hard)

Question Stats:

21% (01:49) correct 79% (01:27) wrong based on 19 sessions

### HideShow timer Statistics

Two cars start off at the same point on a straight highway; each car travels in opposite direction to the other for 6km, and then takes an 8km travel after turning to the right. What is the shortest and longest distances that exist between them?

A. 12, 10
B. 11, 20
C. 20, 28
D. 14, 26
E. 20, 14
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Mar 2013, 15:03, edited 1 time in total.
Renamed the topic and edited the question.
VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1122
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 190

Kudos [?]: 2100 [0], given: 219

Re: Two cars start off at the same point on a straight highway; [#permalink]

### Show Tags

21 Mar 2013, 15:31
How can A be the answer?

What is the shortest and longest distances that exist between them?
A. 12, 10
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Manager
Joined: 24 Jan 2013
Posts: 79
Followers: 5

Kudos [?]: 144 [1] , given: 6

Re: Two cars start off at the same point on a straight highway; [#permalink]

### Show Tags

21 Mar 2013, 18:03
1
KUDOS
Just draw the problem (see attached drawing) and do:

$$Z^2=6^2+8^2$$ ---> $$Z=10$$

I think Zarrolou is right, and the solution must be: (12, 20)

Shortest: 12
Longest: 20

Therefore, there is a mistake in the solutions provided because it says answer A is (12, 10)

Solution: (12, 20) --> see attached drawing

Attachments

Imagen1.jpg [ 9.71 KiB | Viewed 1147 times ]

Manager
Joined: 12 Mar 2012
Posts: 94
Location: India
Concentration: Technology, Strategy
GMAT 1: 710 Q49 V36
GPA: 3.2
WE: Information Technology (Computer Software)
Followers: 9

Kudos [?]: 330 [2] , given: 22

Re: Two cars start off at the same point on a straight highway; [#permalink]

### Show Tags

21 Mar 2013, 18:10
2
KUDOS
Kindly check the answer. It should be C.

The shortest distance will be along the hypotenuse and longest distance will be along the path taken by the two cars, i.e. along the other two sides of the triangles.
Image is attached.

Please give a kudo if you like my post.
Attachments

Maths.JPG [ 16.8 KiB | Viewed 1117 times ]

Veritas Prep GMAT Instructor
Joined: 11 Dec 2012
Posts: 313
Followers: 114

Kudos [?]: 278 [0], given: 66

Re: Two cars start off at the same point on a straight highway; [#permalink]

### Show Tags

22 Mar 2013, 00:02
Abhii46 wrote:
Kindly check the answer. It should be C.

The shortest distance will be along the hypotenuse and longest distance will be along the path taken by the two cars, i.e. along the other two sides of the triangles.
Image is attached.

Please give a kudo if you like my post.

Pythagoras strikes again! Of course this is setting us up to have a right angle triangle, and a 3-4-5 (all values x2) triangle at that. The shortest distance will have to be 20 (10x2), but the longest distance is where this question falls apart. I'd say the longest distance between them is the path starting at point A, passing by Siberia, and then hitting point B.

This question sort of falls apart here but the shortest distance is nevertheless measurable and the longest distance can be measured with enough arbitrary rules (using only the roads that are used and not being able to take the same road twice, sort of thing). Using these completely realistic restrictions, the answer is C.

Hope this helps!
-Ron
_________________
Re: Two cars start off at the same point on a straight highway;   [#permalink] 22 Mar 2013, 00:02
Similar topics Replies Last post
Similar
Topics:
5 Car A and Car B are each traveling along the same stretch of highway 5 23 Jul 2016, 07:47
1 Two cars start at the same time from opposite ends of a highway that 6 15 Jun 2016, 13:55
12 Truck A is on a straight highway heading due south at the same time T 5 24 Dec 2015, 11:00
3 Cars P & Q are approaching each other on the same highway. Car P is m 3 07 Oct 2016, 04:19
6 Two highways start from a point P and meet again... 5 13 May 2016, 09:08
Display posts from previous: Sort by