SOLUTION: how to solve: a jogger and cyclist started at the same point and traveled for 2 hours in opposite directions until they were 42 miles apart. The cyclist traveled 10 mph faster than

Question 369905: how to solve: a jogger and cyclist started at the same point and traveled for 2 hours in opposite directions until they were 42 miles apart. The cyclist traveled 10 mph faster than the jogger.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let j = rate of the jogger. Then j+10 = rate of cyclist.
Then 2j + 2(j+10) = 42,
2j + 2j + 20 = 42,
4j = 42-20 = 22,
or j = 5.5 miles per hour, the rate of the jogger.
j + 10 = 15.5 miles per hour, the rate of the cyclist.
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