SOLUTION: Maria bicycles 8km per hour faste than Praedup. In the same time it takes Praedup to bicycle 42 km, maria can bicycle 66km. How fast are each bicyclist traveling?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Maria bicycles 8km per hour faste than Praedup. In the same time it takes Praedup to bicycle 42 km, maria can bicycle 66km. How fast are each bicyclist traveling?      Log On


   

Question 315249: Maria bicycles 8km per hour faste than Praedup. In the same time it takes Praedup to bicycle 42 km, maria can bicycle 66km. How fast are each bicyclist traveling?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Maria bicycles 8km per hour faste than Praedup.
In the same time it takes Praedup to bicycle 42 km, maria can bicycle 66km.
How fast are each bicyclist traveling?
:
let s = P's biking speed
"Maria bicycles 8 km per hour faster than P"; therefore:
(s+8) = M's biking speed
:
Write a time equation; time = dist/speed
:
M's time = P's time
42%2Fs = 66%2F%28%28s%2B8%29%29
Cross multiply
66s = 42(s+8)
:
66s = 42s + 336
:
66s - 42s = 336
:
24s = 336
s = 336%2F24
s = 14 km/h is P's speed
then
14 + 8 = 22 km/hr is M's speed
:
:
check solution by finding the times, (should be equal)
66/22 = 3 hrs
42/14 = 3 hrs; confirms our solutions