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

It is currently 23 Sep 2018, 20:53

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 is training for the marathon. He drove 12 miles from his

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

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 315
Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post Updated on: 22 Aug 2013, 04:11
1
6
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

74% (01:40) correct 26% (01:40) wrong based on 171 sessions

HideShow timer Statistics

Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?

A. 1 ≤ n ≤23
B. 3 ≤ n ≤21
C. 5 ≤ n ≤19
D. 6 ≤ n ≤18
E. 9 ≤ n ≤15

_________________

Asif vai.....


Originally posted by Asifpirlo on 21 Aug 2013, 18:15.
Last edited by Bunuel on 22 Aug 2013, 04:11, edited 1 time in total.
Edited the question.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49323
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 22 Aug 2013, 04:37
5
1
Asifpirlo wrote:
Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?

A. 1 ≤ n ≤23
B. 3 ≤ n ≤21
C. 5 ≤ n ≤19
D. 6 ≤ n ≤18
E. 9 ≤ n ≤15


Consider the diagram below:
Attachment:
Distance2.png
Distance2.png [ 4.95 KiB | Viewed 2475 times ]

The length of any side of a triangle must be larger than the positive difference of the other two sides:

So, (12-4)<x<(12+4) --> 8<x<16.

So, (8-3)≤n≤(16+3) --> 5≤n≤19 (we use ≤ in case is along the straight line x).

Answer: C.

Hope it's clear.
_________________

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

General Discussion
Manager
Manager
avatar
Joined: 31 Jul 2013
Posts: 51
Location: United States
Concentration: General Management, Entrepreneurship
GPA: 3.6
WE: Law (Entertainment and Sports)
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 21 Aug 2013, 20:12
Asifpirlo wrote:
Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
A. 1 ≤n ≤23
B. 3 ≤n ≤21
C. 5 ≤n ≤19
D. 6 ≤n ≤18
E. 9 ≤n ≤15


Honestly, I just assumed this was all in a straight direct line away from Sam's home. So 12 + 6 -2 + 3 = 19 as the upper bound, and C is the only choice that fits this.
Manager
Manager
avatar
Joined: 07 May 2013
Posts: 98
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 19 Nov 2013, 23:38
Buneul, please explain the third line of your solution more elaborately.
Manager
Manager
avatar
Joined: 07 May 2013
Posts: 98
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 19 Nov 2013, 23:44
Buneul, when we get 8<x<16 we take all values between 8 and 16 excluding 8 and 16. How come you are considering them only in line 3 of your solution?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49323
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 20 Nov 2013, 02:31
Manager
Manager
avatar
Joined: 25 Oct 2013
Posts: 154
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 22 Nov 2013, 10:19
ProleFeed13 wrote:
Asifpirlo wrote:
Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
A. 1 ≤n ≤23
B. 3 ≤n ≤21
C. 5 ≤n ≤19
D. 6 ≤n ≤18
E. 9 ≤n ≤15


Honestly, I just assumed this was all in a straight direct line away from Sam's home. So 12 + 6 -2 + 3 = 19 as the upper bound, and C is the only choice that fits this.


I did the same but on the lower limit. If you think about it, it is correct approach because, the farthest that Red Rock can exist from his home is when he ran 6 miles from grey hill in exactly opposite direction of the home. so Red Rock will be 18 miles from home. And the max of the required range will be when he runs 3 miles in the opposite direction again after he retraced 2 miles back. this gives 18-2+3 = 19 miles as upper limit.

Likewise to get lower limit of the range, Red rock must be closest to his home which is 12-6 = 6 miles. he retraces 2 miles away to 8 miles and turns around and goes back 3 miles giving distance of 5 miles from home as lower limit.

took little over 2 mins for this.
_________________

Click on Kudos if you liked the post!

Practice makes Perfect.

Manager
Manager
avatar
Joined: 27 Oct 2013
Posts: 222
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
GPA: 3.88
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 12 Jan 2015, 01:51
I don't know whether my method of reasoning is right...

but here it goes -------

Driven = 12 miles
Ran = 6 miles
As he retraced his path back for 2 miles ------ so subtract 2 from 6 --------

Ran again for 3 miles...

Maximum distance will be a straight line from his home to destination.....
Please check the figure attached for better understanding....

hence maximum distance would be 12 + 6 - 2 + 3 = 19

only option C has the same.
Attachments

Q.JPG
Q.JPG [ 9.83 KiB | Viewed 1635 times ]

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1834
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 14 Jan 2015, 02:26
Values given in option C are the subset of option A & option B

Should the question be "what is the range of nearest possible values for n?"?
_________________

Kindly press "+1 Kudos" to appreciate :)

Intern
Intern
avatar
Joined: 05 Sep 2015
Posts: 45
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 30 Aug 2016, 07:09
ANSWER: C To find the maximum and minimum range for his distance from home, assume that he traveled either directly toward his home or directly away from his home. The range then is between 12+6-2+3=19 for the maximum, and 12-6+2-3=5 for the minimum, so C is the answer
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8162
Premium Member
Re: Sam is training for the marathon. He drove 12 miles from his  [#permalink]

Show Tags

New post 25 Aug 2018, 02:20
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Sam is training for the marathon. He drove 12 miles from his &nbs [#permalink] 25 Aug 2018, 02:20
Display posts from previous: Sort by

Sam is training for the marathon. He drove 12 miles from his

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

Events & Promotions

PREV
NEXT


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®.