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?

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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(9817) About Me  (Show Source):
You can put this solution on YOUR website!
Write 1 equation for kathy, and 1 equation for Praedup
Let s = praedup's speed
given:
K:
(1) 50+=+%28s+%2B+4%29%2At
P:
(2) 45+=+s%2At
----------------
(1) 50+=+s%2At+%2B+4t
and, by substitution:
50+=+45+%2B+4t
4t+=+5
t+=+5%2F4
---------
(1) 45+=+s%2A%285%2F4%29
s+=+%284%2F5%29%2A45
s+=+36
and
s+%2B+4+=+40
Kathy's speed is 40 km/hr
Praedup's speed is 36 km/hr