BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Distance

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 am
Location: Chennai, India
Thanked: 206 times
Followed by:43 members
GMAT Score:640

Distance

by GmatKiss » Sat Aug 06, 2011 10:38 am
A train trip begins at Lawrenceville, makes stops first at Milton and then at Overton, and ends at Pottstown. The distance between Lawrenceville and Overton is four times the distance between Overton and Pottstown, and the distance between Lawrenceville and Milton is equal to half the distance between Milton and Overton. The trip from Lawrenceville to Overton is how many times the trip from Milton to Pottstown?

11/12

1

12/11

4

1/3
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 582
Joined: Tue Mar 08, 2011 12:48 am
Thanked: 61 times
Followed by:6 members
GMAT Score:740

by force5 » Sat Aug 06, 2011 10:52 am
L----------M------------O-----------P
<-----------4x---------> <----x-----> ...........I

<---t-----> <----2t-----> ...........II

so we have taken 2 variables..

we need to find LO/MP

4x/2t+x ............III

from I and II 3t= 4x
t= 4x/3

substituting in III
the ratio comes out to be 12/11

Hope it helps..
Top
Junior | Next Rank: 30 Posts
Posts: 19
Joined: Sat Jul 30, 2011 10:39 pm
Location: India
Thanked: 3 times

by Touseef » Sat Aug 06, 2011 10:53 am
Hi,

The 4 stops are


L----->M-------->O---------->P

Let the distance between O and P be X.
Hence,thee distance between L and O is 4X

Let the distance between M and O be Y.
Hence,the distance between L and M is 1/2Y.

1/2Y+Y=4X
3/2Y=4X
Y=8/3X

The Distance between M to P would be Y+X
->(8/3X)+X=11X/3

Hence the ratio between L to O and M to P is

4X:11X/3
12:11

Hence,the distance from Lawrenceville to Overton is 11/12 times the trip from Milton to Pottstown

ANS :A
Top
Senior | Next Rank: 100 Posts
Posts: 49
Joined: Sun Jun 26, 2011 5:45 pm
Thanked: 2 times

by edge » Sat Aug 06, 2011 10:54 am
L------M------O------P

Let OP = x. Therefore, LO = 4x. Also, LM = 4x/3, MO = 8x/3.

LM/MP = LM / (MO + OP) = 4x / (8x/3 + x) = 12/11.
Top
Junior | Next Rank: 30 Posts
Posts: 19
Joined: Sat Jul 30, 2011 10:39 pm
Location: India
Thanked: 3 times

by Touseef » Sat Aug 06, 2011 10:57 am
Correction:

12/11 times the distance from M to P.
Top
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 am
Location: Chennai, India
Thanked: 206 times
Followed by:43 members
GMAT Score:640

by GmatKiss » Sat Aug 06, 2011 11:03 am
OA: 12/11
Top
User avatar
Legendary Member
Posts: 1255
Joined: Fri Nov 07, 2008 2:08 pm
Location: St. Louis
Thanked: 312 times
Followed by:90 members

by Tani » Sat Aug 06, 2011 12:03 pm
Again, picking numbers is helpful.

We want a number for LO that is divisible by both 3 and 4 so we pick 12.

LO is 12 miles, so OP is 3 miles. (1/4 of LO).

Meanwhile, LM is 1/2 of MO, but we know the total of LM + MO is 12. Therefore LM = 4 and MO = 8.

Now we have LO = 12 and MP = MO + OP = 8 + 3 = 11 Answer 12/11
Tani Wolff
Top
Master | Next Rank: 500 Posts
Posts: 401
Joined: Tue May 24, 2011 1:14 am
Thanked: 37 times
Followed by:5 members

by MBA.Aspirant » Sat Aug 06, 2011 2:41 pm
4: 11/3


ratio = 12/11
Top
Post new topic Post Reply
• Page 1 of 1