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# R, S, T, and U are points on a line, and U is the midpoint

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Senior Manager
Joined: 08 Aug 2005
Posts: 251
R, S, T, and U are points on a line, and U is the midpoint  [#permalink]

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01 Dec 2005, 00:42
1
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

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SVP
Joined: 24 Sep 2005
Posts: 1816
Re: points on a line segment  [#permalink]

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01 Dec 2005, 00:55
getzgetzu 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

SU= 1/2 ST= 12

R can lie outside or inside segment line ST . But , since RS+RT= 20+4=24= ST ----> R can only lie inside the segment ----> UR= ST-SU-RT= 24-12-4= 8
GMAT Club Legend
Joined: 29 Jan 2005
Posts: 5062

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01 Dec 2005, 08:09
Helps to draw this one out. U is the midpoint of ST, and because RS+RT=24, then R is also between ST. If RT=4, then R is between U and T. UT-RT=RU---> 12-4=8
Director
Joined: 24 Oct 2005
Posts: 638
Location: London

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01 Dec 2005, 09:17
Yes, drawing a line helps.
the points will be in order SURT
RU = 8
Non-Human User
Joined: 09 Sep 2013
Posts: 8134
Re: R, S, T, and U are points on a line, and U is the midpoint  [#permalink]

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30 Oct 2017, 20:34
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Re: R, S, T, and U are points on a line, and U is the midpoint &nbs [#permalink] 30 Oct 2017, 20:34
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