SOLUTION: Pablo spends 2 hours for an upcoming race. He runs full speed at 9 miles per hour for the race distance; then he walks back to his starting point at 2.5 miles per hour. How long do

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Pablo spends 2 hours for an upcoming race. He runs full speed at 9 miles per hour for the race distance; then he walks back to his starting point at 2.5 miles per hour. How long do      Log On

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Question 1074663: Pablo spends 2 hours for an upcoming race. He runs full speed at 9 miles per hour for the race distance; then he walks back to his starting point at 2.5 miles per hour. How long does he spend walking? How long does he spend running?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
LET X=THE TIME RUN AT FULL SPEED; therefore the distance run is 9x.
return distance is 2.5*(2-x); the total time is x+(2-x)=2
distances are the same
9x=2.5(2-x)
9x=5-2.5x
11.5x=5
x=5/11.5=0.435 hours running, distance is 9*0.435=3.915 miles
2-x=1.565 hours walking; distance is 3.913 miles, which is equal given rounding.