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 5, 17, and 22, respectively. What is the length of line segment RU?
Correct answer: A
Explanation
Since SR + RT = 22 = ST, then R is somewhere between S and T.
Since ST is 22, then SU is 11 because U is the midpoint of ST.
Since SR < SU, then R is somewhere between S and U.
Then SR + RU = SU.
5 + RU = 11
RU = 6
The answer is A.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.