# Algabra

Kathy bicycles 5 KM/h faster than Javier. In the same time it takes Javier to bicycle 57 km, Katy can bicycle 72 km. How fast does each bicyclist travel?

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1. Time = Distance/Rate
x = Javier's rate
x + 5 = Kathy's rate
57/x = Javier's time
72/(x+5) = Kathy's time

Since their time is equal,
57/x = 72/(x + 5)
72x = 57(x + 5)

Solve for x

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