Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 18 May 2013, 01:27
Customize  |  Hide

Search
Register
New posts
Unanswered

aaron will jog from home at x miles per hour and then walk

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Intern
Intern
Joined: 11 Jul 2007
Posts: 26
Followers: 0

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

aaron will jog from home at x miles per hour and then walk [#permalink] New post 26 Aug 2007, 11:02
aaron will jog from home at x miles per hour and then walk back home by the same route at y miles per hour. how many miles from home can aaron jog so that he spends a total of t hours jogging and walking?

a. (xt)/y
b. (x+t)/(xy)
c. (xyt)/(x+y)
d. (x+y+t)/(xy)
e. ((y+t)/(x)) - (t/y)

help guys, i don't get the OA for this one.
VP
VP
Joined: 10 Jun 2007
Posts: 1478
Followers: 5

Kudos [?]: 70 [0], given: 0

GMAT Tests User
Re: distance problem... [#permalink] New post 26 Aug 2007, 11:21
chronolinkz wrote:
aaron will jog from home at x miles per hour and then walk back home by the same route at y miles per hour. how many miles from home can aaron jog so that he spends a total of t hours jogging and walking?

a. (xt)/y
b. (x+t)/(xy)
c. (xyt)/(x+y)
d. (x+y+t)/(xy)
e. ((y+t)/(x)) - (t/y)

help guys, i don't get the OA for this one.


I get C.
First find average mph:
Set d = distance one way.
Jog total hour = d/x
Walk total hour = d/y
Ave mph = Total Distance / Total Time = (2d) / ((d/x) + (d/y))
= 2xy / (x+y)

Therefore, in t time, Arron will cover: 2xyt / (x+y) miles
You want to find d in term of x, y, and t, so you have:
2xyt / (x+y) = 2d
d = xyt / (x+y)
Intern
Intern
Joined: 11 Aug 2007
Posts: 2
Followers: 0

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

Re: distance problem... [#permalink] New post 26 Aug 2007, 11:24
chronolinkz wrote:
aaron will jog from home at x miles per hour and then walk back home by the same route at y miles per hour. how many miles from home can aaron jog so that he spends a total of t hours jogging and walking?

a. (xt)/y
b. (x+t)/(xy)
c. (xyt)/(x+y)
d. (x+y+t)/(xy)
e. ((y+t)/(x)) - (t/y)

help guys, i don't get the OA for this one.


d/x+d/y = t
dy/xy+dx/xy = t
d(x+y) = txy
d= txy/(x+y)

ans c
Manager
Manager
User avatar
Joined: 18 Apr 2007
Posts: 126
Followers: 1

Kudos [?]: 2 [0], given: 0

GMAT Tests User
 [#permalink] New post 26 Aug 2007, 11:33
r1 = x
r2 = y
total time = t = t1+t2
d = equal both directions

t1 = d/x
t2 = d/y

t = t1+t2 = d/x + d/y

combine so you can simplify and solve for d --> d(x+y)/xy = t

solve for d --> txy/(x+y) = d

Answer: C
  [#permalink] 26 Aug 2007, 11:33
    Similar topics Author Replies Last post
Similar
Topics:
 Popular new posts 3 EXPERTS_POSTS_IN_THIS_TOPIC Aaron will jog home at x miles per hour and then walk back aikido_fudoshin 10 29 Oct 2005, 16:08
New posts Aaron will jog from home at x miles per hour and then walk beckee529 2 16 Sep 2007, 19:19
New posts Aaron will jog from home at X miles per hour and then walk Victor81 2 20 Apr 2008, 17:22
New posts Aaron will jog from home at x miles per hour and then walk amitdgr 5 01 Oct 2008, 06:50
New posts 1 EXPERTS_POSTS_IN_THIS_TOPIC Aaron will jog from home at x miles per hour and then walk Bunuel 4 16 Jul 2012, 04:46
Display posts from previous: Sort by

aaron will jog from home at x miles per hour and then walk

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma

Search for:


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com