Asked by Henry
In a race over 4 km Ryan ran at a constant speed. Sophie, however, ran the first 2 km at a speed 1 km/h more than Ryan and ran the second 2 km at a speed 1 km/h less than Ryan.
Who won the race?
Who won the race?
Answers
Answered by
Steve
If Ryan's speed was r, then since time = distance/speed, compare
4/r and 2/(r-1)+2/(r+1)
This is easy, since it just involves comparing
4r/r^2 and 4r/(r^2-1)
4/r and 2/(r-1)+2/(r+1)
This is easy, since it just involves comparing
4r/r^2 and 4r/(r^2-1)
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