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smc

prealgebra senior

Problem

Ace runs with constant speed and Flash runs times as fast, . Flash gives Ace a head start of yards, and, at a given signal, they start off in the same direction. Then the number of yards Flash must run to catch Ace is:
(A)
(B)
(C)
(D)
Solution
Let denotes the distance Ace needs to run after the yard. Since the distance they run with same amount of time is proportional to their speed, we have Thus the total distance ran by Flash is
Final answer
C