Lexy walks 5 miles from point A to point B in one hour, then : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 09 Dec 2016, 15:02
GMAT Club Tests

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Lexy walks 5 miles from point A to point B in one hour, then

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

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 26 Jun 2012
Posts: 24
Location: Germany
Concentration: Leadership, Finance
GMAT 1: 570 Q31 V39
GMAT 2: 710 Q43 V44
Followers: 0

Kudos [?]: 95 [1] , given: 1

GMAT ToolKit User
Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 21 Jul 2013, 13:16
1
This post received
KUDOS
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (02:21) correct 36% (01:09) wrong based on 397 sessions

HideShow timer Statistics

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40
B. 80
C. 120
D. 160
E. 180
[Reveal] Spoiler: OA
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35932
Followers: 6860

Kudos [?]: 90096 [2] , given: 10413

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 21 Jul 2013, 13:24
2
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
kingflo wrote:
Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40
B. 80
C. 120
D. 160
E. 180


\(average \ speed=\frac{total \ distance}{total \ time}=\frac{5+5}{1+\frac{5}{15}}=\frac{15}{2}\) miles per hour.

Ben's average speed = \(\frac{15}{4}\) miles per hour (half of Lexy's).

Ben's time = \(\frac{distance}{speed}=\frac{10}{(\frac{15}{4})}=\frac{8}{3}\) hours, or 8/3*60=160 minutes.

Answer: D.
_________________

New to the Math Forum?
Please read this: 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: 13 May 2013
Posts: 472
Followers: 3

Kudos [?]: 156 [0], given: 134

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 02 Aug 2013, 11:16
Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

Average speed = total distance/total time

We know the total distance is 5+5 (going from A to B then from B to A)

Time = distance/speed
Time = 5/15
Time = 1/3 hour

Average speed = (10)/(1hr + 1/3hr)
Average speed (lexi) = 10 / 1.33
Therefore, if Ben's average speed is 1/2 of lexi's then his speed = 10/2.66.

This means it took him 2.66 hours to cover the same 10 miles Lexi did. 2.66 hours = roughly 160 minutes.

Answer: D). 160
1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 44

Kudos [?]: 1837 [1] , given: 193

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 29 Oct 2013, 19:20
1
This post received
KUDOS
Lexy travels 10 miles (5+5) in 80 Mins (60 + 60/3)
So, speed of Lexy = 10/80 = 1/8

Speed of Ben is half of speed of Lexy = 1/16

So, time taken by Ben = 10 / (1/16) = 160 Minutes

Answer = D
_________________

Kindly press "+1 Kudos" to appreciate :)

4 KUDOS received
Senior Manager
Senior Manager
User avatar
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 310
Location: India
GMAT 1: 780 Q51 V46
Followers: 64

Kudos [?]: 255 [4] , given: 5

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 29 Oct 2013, 21:29
4
This post received
KUDOS
kingflo wrote:
Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

A. 40
B. 80
C. 120
D. 160
E. 180


Time taken by Lexy: 1 hour + 5/15 = 1 + 1/3 hours i.e 1 hour and 20 minutes

If Ben travels at half the speed then the time taken will be doubled: 2 hours and 40 minutes which is 120 + 40 = 160 minutes

Pushpinder Gill
Quantitative Instructor
_________________

Unlock a set of 15 strategy videos that can help you plan your GMAT prep better! Sign up here to get complete access: https://goo.gl/OyUtLO

Check out our essay writing workshop here:
https://www.youtube.com/watch?v=LbyJyiuLmA8

Quick tips for your GMAT Preparation
https://www.youtube.com/watch?v=tzNZzRpAuIw&list=PLBLqNpwm1D3Vy87UeH5izZy879prnMRHs

For 5 common traps on CR check here :
http://gmatonline.crackverbal.com/p/gmat-critical-reasoning

For sentence correction videos check here -
https://www.youtube.com/watch?v=tjWCs8izjGc&list=PLBLqNpwm1D3Ur8yOdgYFi5nYY98mstDSn
http://gmatonline.crackverbal.com/p/gmat-sentence-correction

Learn all PS and DS strategies here-
http://gmatonline.crackverbal.com/p/mastering-quant-on-gmat

Check out 5 common challenges on RC -
http://gmatonline.crackverbal.com/p/gmat-reading-comprehension

For more info on GMAT and MBA, follow us on @AskCrackVerbal

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12904
Followers: 562

Kudos [?]: 158 [0], given: 0

Premium Member
Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 06 Aug 2015, 06:44
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

Director
Director
User avatar
Joined: 23 Jan 2013
Posts: 568
Schools: Cambridge'16
Followers: 1

Kudos [?]: 41 [0], given: 40

CAT Tests
Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 09 Aug 2015, 07:32
Harmonic average for average speed: 2/(1/5+1/15)=15/2

the half speed: 15/2:2=15/4

10/(15/4)=8/3h*60=160min.

D
Manager
Manager
avatar
Joined: 28 Jun 2015
Posts: 139
Concentration: Finance, Economics
GPA: 3.5
Followers: 0

Kudos [?]: 53 [0], given: 19

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 09 Aug 2015, 08:02
Time taken by Lexy to walk from point B to A => 60*5/15 = 20 mins.

Average speed of Lexy = 5+5/(60+20) = 10/80 = 7.5 mph.

Ben's average speed = 7.5/2 = 3.75 mph.

Time taken by Ben = 10*60/3.75 = 160 mins. Ans (D).
_________________

I used to think the brain was the most important organ. Then I thought, look what’s telling me that.

Intern
Intern
avatar
Joined: 28 Sep 2014
Posts: 20
D: M
GMAT 1: 660 Q49 V31
WE: Information Technology (Consulting)
Followers: 0

Kudos [?]: 7 [0], given: 88

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]

Show Tags

New post 03 Dec 2016, 00:59
Total time taken by Ben will be twice the total time taken by Lexy
ie from 2 * ( 1+15/5) = 2* ( 4/3) = 8/3 hours = 8*60/3 minutes = 160 minutes
Re: Lexy walks 5 miles from point A to point B in one hour, then   [#permalink] 03 Dec 2016, 00:59
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic A man walks from B to C, a distance of x miles, at 8 miles per hour an Bunuel 4 24 Jan 2016, 05:37
10 Experts publish their posts in the topic Noelle walks from point A to point B at an average speed of 5 kilomete Bunuel 9 19 Feb 2015, 08:43
63 Experts publish their posts in the topic Aaron will jog from home at x miles per hour and then walk Bunuel 13 16 Jul 2012, 03:46
50 Experts publish their posts in the topic Walking at 8KMPH From Point A to Point railway station, mike g106 18 09 Oct 2011, 10:53
8 Experts publish their posts in the topic One hour after Adrienne started walking the 60 miles from X pgmat 11 26 Dec 2010, 07:54
Display posts from previous: Sort by

Lexy walks 5 miles from point A to point B in one hour, then

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.