# Algebra

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?

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1. 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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