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Maria bicycles 6km/h faster than Praedup. In the same time it takes Praedup to bicycle 54km, Maria can bicycle 72km. How fast does each bicyclist travel?

  • Algebra -

    Distance = Rate x Time

    Maria's rate is t km/hr faster than Praedup.

    Maria: (r+6)t = 72

    praedup rt = 45

    Solve for t in each case:

    t = 72/(r+6)

    t = 45/r

    Since the times are the same the two fractions equal each other. Solve for r.

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