SOLUTION: Suuppose that Wendy rides her bicycle 30 miles in the same time that it takes kim to ride her bicycle 20 miles. IF wendy rides 5 miles per hour faster than kim, find the rate of e

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Suuppose that Wendy rides her bicycle 30 miles in the same time that it takes kim to ride her bicycle 20 miles. IF wendy rides 5 miles per hour faster than kim, find the rate of e      Log On


   

Question 102961: Suuppose that Wendy rides her bicycle 30 miles in the same time that it takes kim to ride her bicycle 20 miles. IF wendy rides 5 miles per hour faster than kim, find the rate of each.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that Wendy rides her bicycle 30 miles in the same time that it takes Kim to ride her bicycle 20 miles. IF Wendy rides 5 miles per hour faster than Kim, find the rate of each.
:
Let s = K's speed
then
(s+5) = W's speed
:
Since they tell us the the two times are the same, we can make a simple time
equation from this fact: Time = Distance/Speed
:
K's time = W's time
20%2Fs = 30%2F%28%28s%2B5%29%29
:
Cross multiply
30s = 20(s+5)
:
30s = 20s + 100
:
30s - 20s = 100
:
10s = 100
:
s = 10 mph is K's speed and 15 mph is W's speed
:
:
Check solution by find the time of each:
20/10 = 30/15
2 = 2