Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
May 2110:00 AM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.
Jun 1006:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
08 Dec 2011, 23:12
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:55) correct
18%
(02:08)
wrong
based on 601
sessions
History
Date
Time
Result
Not Attempted Yet
R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 20, 4, and 24, respectively. What is the length of line segment RU?
A. 6
B. 8
C. 12
D. 14
E. 16
A. 6
B. 8
C. 12
D. 14
E. 16
What is the quickest way to solve such a problem? I did get the correct answer but got it after a lot of time. How would one solve this problem quickly and efficiently? Please help.
Every tricky question should trigger a follow up quiz.
Build that habit with
GMAT Club Forum Quiz →.
Updated on: 26 May 2021, 05:55
Originally posted by BrentGMATPrepNow on 29 Sep 2016, 08:39.
Last edited by BrentGMATPrepNow on 26 May 2021, 05:55, edited 2 times in total.
Last edited by BrentGMATPrepNow on 26 May 2021, 05:55, edited 2 times in total.
Kudos
Bookmarks
siddharthmuzumdar
Here's my step-by-step solution:
U is the midpoint of line segment ST, and the length of line segment ST is 24.
So, we get the following:
This means that SU and UT both have length 12:
The length of line segment RT is 4
There are two possible locations for R:
Case a:
In case a, the length of line segment SR is 28, but the question tells us that line segment SR has length 20.
So, R cannot be in the above location.
Case b:
In case b, the length of line segment SR is 20...PERFECT
Now that we've determined R's location, we can find the length of RU.
RU must have length 8
Answer: B
Cheers,
Brent
General Discussion
08 Dec 2011, 23:32
Kudos
Bookmarks
ST = 24, RT = 4, RS = 20 => this should tell you the order of the points on the number line as S, U, R, T (because any other ordering will violate at least one of the equations)
ST = SU + UT = 2UT = 24
=> UT = 12
=> UR + RT = 12 => UR = 12 - RT = 12 -4 = 8
ST = SU + UT = 2UT = 24
=> UT = 12
=> UR + RT = 12 => UR = 12 - RT = 12 -4 = 8
