SOLUTION: An athlete jogs at 6 miles per hour and at 9 miles per hour for a total time of 1 hour, covering a distance of 7 miles. How long does the athlete jog at each speed? Thanks!

Question 715311: An athlete jogs at 6 miles per hour and at 9 miles per hour for a total time of 1 hour, covering a distance of 7 miles. How long does the athlete jog at each speed?
Thanks!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An athlete jogs at 6 miles per hour and at 9 miles per hour for a total time of 1 hour, covering a distance of 7 miles. How long does the athlete jog at each speed?
d = r*t
t = d/r
-----
d = distance at 6 mi/hr
d/6 + (7-d)/9 = 1
9d + 6(7-d) = 54
9d + 42 - 6d = 54
3d = 12
d = 4 miles at 6 mi/hr --> t = 2/3 hour
--> 1/3 hour at 9 mi/hr

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