SOLUTION: Two cyclists are riding towards each other along a road (each at a constant speed.) At 8 a.m they are 63 miles apart. They meet at 11 a.m. If one cyclist rides at 12.5 miles per ho

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two cyclists are riding towards each other along a road (each at a constant speed.) At 8 a.m they are 63 miles apart. They meet at 11 a.m. If one cyclist rides at 12.5 miles per ho      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 962981: Two cyclists are riding towards each other along a road (each at a constant speed.) At 8 a.m they are 63 miles apart. They meet at 11 a.m. If one cyclist rides at 12.5 miles per hour, what is the speed of the other cyclist?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
In your problem we have two cyclists, a and b:
a+b= 63 and therefore b= 63-a. And,
rate*time= distance
12.5*3= distance(a)= 37.5km And we said b=63-a:
b= 63-37.5= 25.5 is the distance covered by b. Back to the formula:
distance= r*t divide both sides by t
distance/time= rate Now substitute with numbers
25.5/3= 8.5km/h is the speed of cyclist b