SOLUTION: Matt rides his bicycle 12 miles up a hill and then 16 miles on level terrain. His speed on level ground is 3 mph faster than his speed going up hill. Matt rides for the same amount

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Matt rides his bicycle 12 miles up a hill and then 16 miles on level terrain. His speed on level ground is 3 mph faster than his speed going up hill. Matt rides for the same amount      Log On


   

Question 722491: Matt rides his bicycle 12 miles up a hill and then 16 miles on level terrain. His speed on level ground is 3 mph faster than his speed going up hill. Matt rides for the same amount of time going uphill as on level ground. What is his speed going up hill?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Let r = speed going up hill.

__________________speed(mph)____________time(hours)___________distance
Up Hill___________r_____________________t=12%2Fr_____________________12
Level Ground______r+3___________________t=16%2F%28r%2B3%29_____________________16

According to given information, t is the same up hill and on level ground, so this gives an equation, highlight%2812%2Fr=16%2F%28r%2B3%29%29. Solve for r.