Elena bicycles 6 km/h faster than Dennis. In the same time it takes Dennis to bicycle 45 km, Elena can bicycle 63 km. How fast does each bicyclist travel?

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  1. X = rate of Dennis
    X+6 = rate of Elena
    time Dennis to travel 45 = time Elena travel 63.
    distance = rate x time or
    time = distance/rate
    45/X = 63/(X+6)
    Solve for X = Dennis' speed.
    X+6 = Elena's speed.

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