January 19, 2019 January 19, 2019 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. January 20, 2019 January 20, 2019 07:00 AM PST 07:00 AM PST Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 12 Oct 2011
Posts: 183

R, S, T, and U are points on a line, and U is the midpoint of line
[#permalink]
Show Tags
08 Dec 2011, 22:12
Question Stats:
77% (02:01) correct 23% (02:16) wrong based on 355 sessions
HideShow timer Statistics
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 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.
Official Answer and Stats are available only to registered users. Register/ Login.



Intern
Joined: 23 Sep 2011
Posts: 46
Location: Singapore
Concentration: Finance, Entrepreneurship
GPA: 3.44
WE: Information Technology (Investment Banking)

Re: R, S, T, and U are points on a line, and U is the midpoint of line
[#permalink]
Show Tags
08 Dec 2011, 22:32
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



Manager
Joined: 13 May 2011
Posts: 225
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs

Re: R, S, T, and U are points on a line, and U is the midpoint of line
[#permalink]
Show Tags
09 Dec 2011, 01:46
30 sec. by drawing the line. Just draw the line as guided placing U in the middle. Straight away you know that UT=12 =>RT=4 So, UTRT=UR=124=8



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8792
Location: Pune, India

Re: R, S, T, and U are points on a line, and U is the midpoint of line
[#permalink]
Show Tags
09 Dec 2011, 02:25
siddharthmuzumdar wrote: 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
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. Yes, the quickest way is drawing the line. U is the mid point of ST so I draw a line segment ST and U in the middle. Length of ST is 24 so length of SU and UT must be 12 each. Attachment:
Ques3.jpg [ 4.34 KiB  Viewed 6384 times ]
Now we need to place R. RS = 20 and RT = 4 which means that R is closer to T than to S. So it cannot be on the left of S. It can also not be on the right of T because then RS must be greater than 24. So R must be in between S and T, closer to T. Attachment:
Ques4.jpg [ 5.37 KiB  Viewed 6388 times ]
Length of RU = 20  12 = 8
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



SVP
Joined: 06 Nov 2014
Posts: 1877

Re: R, S, T, and U are points on a line, and U is the midpoint of line
[#permalink]
Show Tags
29 Mar 2015, 07:07
siddharthmuzumdar wrote: 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
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. Given that RS = 20, RT = 4 and ST = 24. We can see that ST = RS + RT. Hence R is in between S and T. Also, U is the mid point of ST. So, SU = UT = 12 Hence R has to be in between U and T (otherwise it will not satisfy given conditions). So, UT = 12 and RT = 4 Hence RU = UT  RT = 12  4 = 8 Hence option (B).  Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimusprep.com/gmatondemandcourse



CEO
Joined: 11 Sep 2015
Posts: 3334
Location: Canada

R, S, T, and U are points on a line, and U is the midpoint of line
[#permalink]
Show Tags
Updated on: 16 Apr 2018, 11:46
siddharthmuzumdar wrote: 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
Here's my stepbystep 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 4There 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 8Answer: B Cheers, Brent
_________________
Test confidently with gmatprepnow.com
Originally posted by GMATPrepNow on 29 Sep 2016, 07:39.
Last edited by GMATPrepNow on 16 Apr 2018, 11:46, edited 1 time in total.



Director
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 533
Location: India

Re: R, S, T, and U are points on a line, and U is the midpoint of line
[#permalink]
Show Tags
27 Feb 2017, 03:57
On the xaxis, if S is at 0, then U is at 12, R is at 20 and T is at 24. Therefore RU = SR  SU = 20 12 = 8. Option B
_________________
GMAT Mentors



Manager
Joined: 05 Nov 2016
Posts: 88

Re: R, S, T, and U are points on a line
[#permalink]
Show Tags
06 May 2017, 19:35
With the given RS, RT, and ST are 20, 4, and 24 and U being the mid point of ST, we can say that the points are aligned as S U R T total length of ST=24, since U is mid point SU = 12 SR = 20, so RU = RSSU =2012 =8
_________________
Kudos are always welcome ... as well your suggestions



CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2726
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: R, S, T, and U are points on a line
[#permalink]
Show Tags
06 May 2017, 21:20
amathews wrote: 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 Just draw the figure as attached Answer: Option B
Attachments
File comment: www.GMATinsight.com
123.jpg [ 44.38 KiB  Viewed 2657 times ]
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



NonHuman User
Joined: 09 Sep 2013
Posts: 9437

Re: R, S, T, and U are points on a line, and U is the midpoint of line
[#permalink]
Show Tags
18 Sep 2018, 21:07
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: R, S, T, and U are points on a line, and U is the midpoint of line &nbs
[#permalink]
18 Sep 2018, 21:07






