Question

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You can run 250 meters per minute
downhill and 180 meters per minute uphill. One day you run a total of
1557 meters in 7.6 minutes on a route that goes both uphill and downhill.

Answer 1

Let d and u be the time in minutes, required to run the total distance downhill and the total distance uphill, respectively.
r*t = d
Solve the following two equations for d and u :\[\left\{ 250d+180 u=1557,d+u=\frac{76}{10}\right\}\]\[\left\{d=\frac{27}{10},u=\frac{49}{10}\right\} \]