MathDB
2019 Individual #15

Source:

May 1, 2022
2019 Individual

Problem Statement

Alice, Bob, and Catherine decide to have a race. Alice runs at a speed of 33 feet per second, and Bob runs at a speed of 55 feet per second. In the end, Bob finishes the same amount of time before Catherine as Catherine finishes before Alice. What was Catherine's speed, in feet per second?
<spanclass=′latex−bold′>(A)</span>154<spanclass=′latex−bold′>(B)</span>4<spanclass=′latex−bold′>(C)</span>174<spanclass=′latex−bold′>(D)</span>92<spanclass=′latex−bold′>(E)</span>impossible to determine<span class='latex-bold'>(A) </span>\dfrac{15}4\qquad<span class='latex-bold'>(B) </span>4\qquad<span class='latex-bold'>(C) </span>\dfrac{17}4\qquad<span class='latex-bold'>(D) </span>\dfrac92\qquad<span class='latex-bold'>(E) </span>\text{impossible to determine}
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