SOLUTION: The speed of a bicyclist is 10 mph faster than the speed of a jogger. If the bicyclist travels 96 miles in the same amount of time that the jogger travels 36 miles, find the speed

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Question 1095470: The speed of a bicyclist is 10 mph faster than the speed of a jogger. If the bicyclist travels 96 miles in the same amount of time that the jogger travels 36 miles, find the speed of the bicyclist.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                  SPEED       TIME     DISTANCE
Bicycle           r+10        t         96
Jog                r          t         36

Same t time for both.
96%2F%28r%2B10%29=36%2Fr
-
8%2F%28r%2B10%29=3%2Fr

3%28r%2B10%29=8r

3r%2B30=8r

5r=30

highlight%28r=6%29
-
r%2B10=highlight%2816%29-------bicyclist speed