SOLUTION: Kathy bicycles 4 km/h faster than Praedup. In the same time it takes Praedup to bicycle 45 km, Kathy can bicycle 50 km. How fast does each bicyclist travel?

Question 412126: Kathy bicycles 4 km/h faster than Praedup. In the same time it takes Praedup to bicycle 45 km, Kathy can bicycle 50 km. How fast does each bicyclist travel?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Write 1 equation for kathy, and 1 equation for Praedup
Let = praedup's speed
given:
K:
(1)
P:
(2)
----------------
(1)
and, by substitution:

---------
(1)

and

Kathy's speed is 40 km/hr
Praedup's speed is 36 km/hr
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