SOLUTION: Function: t(r)=d/r t(hours) d(distance) r(in miles/hour) reuben drives 10 miles at an initial rate and then drives 20 miles at a rate 5 miles/hour faster than the first rate

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Question 955088: Function: t(r)=d/r t(hours) d(distance) r(in miles/hour)
reuben drives 10 miles at an initial rate and then drives 20 miles at a rate 5 miles/hour faster than the first rate he drove.
Please help

Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
The two different rates, each for a different distance, will form two different time expressions, to be summed.

10%2Fr%2B20%2F%28r%2B5%29 for total time.

%2810%28r%2B5%29%2B20r%29%2F%28r%28r%2B5%29%29

%2810r%2B50%2B20r%29%2F%28r%5E2%2B5r%29


highlight%28%2830r%2B50%29%2F%28r%5E2%2B5r%29%29, if one rational expression form.