Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 05 Feb 2016, 19:25

### 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

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

Author Message
TAGS:
Intern
Joined: 26 Jun 2012
Posts: 24
Location: Germany
GMAT 1: 570 Q31 V39
GMAT 2: 710 Q43 V44
Followers: 0

Kudos [?]: 69 [1] , given: 1

Lexy walks 5 miles from point A to point B in one hour, then [#permalink]  21 Jul 2013, 13:16
1
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

59% (02:25) correct 41% (01:17) wrong based on 271 sessions
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
Math Expert
Joined: 02 Sep 2009
Posts: 31223
Followers: 5341

Kudos [?]: 62019 [1] , given: 9426

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]  21 Jul 2013, 13:24
1
KUDOS
Expert's post
2
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.

_________________
Senior Manager
Joined: 13 May 2013
Posts: 472
Followers: 1

Kudos [?]: 115 [0], given: 134

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

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 31

Kudos [?]: 1352 [1] , given: 193

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]  29 Oct 2013, 19:20
1
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

_________________

Kindly press "+1 Kudos" to appreciate

Manager
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 223
Location: India
GMAT 1: 780 Q51 V46
Followers: 41

Kudos [?]: 152 [3] , given: 3

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]  29 Oct 2013, 21:29
3
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
_________________

http://www.gmat.crackverbal.com

Watch a 3-part Video Strategy series by CrackVerbal Founder & GMAT Expert Arun Jagannathan - http://gmat.crackverbal.com/gmat-video- ... g-part-one

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 8149
Followers: 417

Kudos [?]: 110 [0], given: 0

Re: Lexy walks 5 miles from point A to point B in one hour, then [#permalink]  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.
_________________
Senior Manager
Joined: 23 Jan 2013
Posts: 488
Schools: Cambridge'16
Followers: 2

Kudos [?]: 39 [0], given: 36

Lexy walks 5 miles from point A to point B in one hour, then [#permalink]  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
Joined: 28 Jun 2015
Posts: 139
Concentration: Finance, Economics
GPA: 3.5
Followers: 0

Kudos [?]: 47 [0], given: 19

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

Re: Lexy walks 5 miles from point A to point B in one hour, then   [#permalink] 09 Aug 2015, 08:02
Similar topics Replies Last post
Similar
Topics:
A man walks from B to C, a distance of x miles, at 8 miles per hour an 3 24 Jan 2016, 05:37
6 Noelle walks from point A to point B at an average speed of 5 kilomete 7 19 Feb 2015, 08:43
32 Aaron will jog from home at x miles per hour and then walk 12 16 Jul 2012, 03:46
44 Walking at 8KMPH From Point A to Point railway station, mike 18 09 Oct 2011, 10:53
6 One hour after Adrienne started walking the 60 miles from X 10 26 Dec 2010, 07:54
Display posts from previous: Sort by