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

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) (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
=
:
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
RELATED QUESTIONS
A woman can bicycle 20 miles in the same time that it takes her to jog 10 miles. If she... (answered by stanbon)

A woman can ride a bicycle 25 miles in the same time that it takes her to walk 5 miles.... (answered by Greenfinch)

Wendy decided to ride her bicycle to the mall and back. On the way there she was pumped... (answered by mananth)

Tina can run 12 miles in the same time it takes her to bicycle 72 miles. If her bicycling (answered by mananth)

Al's speed on his bicycle is 6 mph faster than Julie's speed on her bicycle. Al travels... (answered by addingup,Fombitz)

A woman can bicycle 28 miles in the same time as it takes her to walk 8 miles. She can... (answered by mananth,Tatiana_Stebko)

A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can... (answered by TimothyLamb)

A woman can bicycle 69 miles in the same time as it takes her to walk 15 miles. She can... (answered by macston)

A women can bicycle 22 miles in the same time as it takes her to walk 8 miles. She can... (answered by josmiceli)