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

It is currently 25 May 2013, 14:18
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:
Director
Director
Joined: 11 Jun 2007
Posts: 938
Followers: 1

Kudos [?]: 18 [0], given: 0

GMAT Tests User
Aaron will jog from home at x miles per hour and then walk [#permalink] New post 16 Sep 2007, 19:19
24. 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)

Please explain your strategy for the question. I have the answer and the OE already. However, the explanation was really convoluted.

this is the way I did it but not sure if my logic is correct:

d = rt
r = 1/x + 1/y = xy/ x+y

d = (xy/ x+y) t
d = xyt / x+y (answer C)

Thanks in advance!
Director
Director
Joined: 17 Sep 2005
Posts: 934
Followers: 1

Kudos [?]: 14 [0], given: 0

GMAT Tests User
Re: OG Diagnostic word problem [#permalink] New post 16 Sep 2007, 19:32
beckee529 wrote:
24. 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)

Please explain your strategy for the question. I have the answer and the OE already. However, the explanation was really convoluted.

this is the way I did it but not sure if my logic is correct:

d = rt
r = 1/x + 1/y = xy/ x+y

d = (xy/ x+y) t
d = xyt / x+y (answer C)

Thanks in advance!



Let the one way distance is D miles.

Speed = Distance / Times

S1 (To Jog) = D/T1 where T1 = Time to Jog
=> T1 = D/x where S1 = x ------------------- (1)

S1 (To Walk) = D/T2 where T2 = Time to walk
=> T2 = D/y where S2 = y --------------------(2)

Total Time Taken = T1 + T2 = t (as per question)

Substitute the values of T1 and T2 from (1) and (2),
We get,

D/x + D/y = t
=> D = txy/(x+y)

Hence C

- Brajesh
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jul 2004
Posts: 5134
Location: Singapore
Followers: 9

Kudos [?]: 87 [0], given: 0

GMAT Tests User
 [#permalink] New post 16 Sep 2007, 20:36
Let the distance be d

Then time spent jogging = d/x hours, time spent walking = d/y hours

t = d/x + d/y
t = dx + dy/xy
txy/(x+y) = d
  [#permalink] 16 Sep 2007, 20:36
    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 chronolinkz 3 26 Aug 2007, 11:02
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:


cron

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