Distance between two runners at a specific point in time.
Tony and Maria are training for a race by running all the way up and down a 700m long ski slope. They each run up the slope at different constant speeds. Coming down the slope, each runs at double his or her uphill speed. Maria reaches the top first, and immediately starts running back down, meeting Tony 70m from the top. When Maria reaches the bottom, how far behind is Tony?
(A)140m (B)250m (C)280m (D)300m (E)320m© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/algebra/distance-between-two-runners-at-a-specific-point-in-time-25v
...ter simplification, y = (126/147)x --------> Equation 1
When Maria reached the bottom
she traveled another 630m and Tony traveled 70m uphill, plus
some distance downhill
Let the distance Tony traveled downhill be z.
630/2x = 70/y ...