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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