Carl and Alvin stand at points C and A, respectively, as represented in the figure above (not drawn to scale), with distances labeled in feet. Carl starts running toward point B at a rate of 400 ft/min, and Alvin starts running toward point B at a rate of 500 ft/min. When Alvin reaches point B, he turns around and runs in the opposite direction until he reaches point A, whereupon he reverses his direction again and runs toward point B. If Alvin repeats this pattern indefinitely, how far will the two runners be from point B when they meet? Assume that Alvin is able to reverse his direction instantaneously.
A. 20 feet
B. \(31\frac{2}{5}\) feet
C. 35 feet
D. \(47\frac{7}{9}\) feet
E. 59 feet
Are You Up For the Challenge: 700 Level Questions
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