# SOLUTION: Maria bicycles 6km/h faster than Praedup. In the same time it takes Praedup to bicycle 33km, Maria can bicycle 51 km. How fast does each bicyclist travel?

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 Question 464679: Maria bicycles 6km/h faster than Praedup. In the same time it takes Praedup to bicycle 33km, Maria can bicycle 51 km. How fast does each bicyclist travel?Answer by ankor@dixie-net.com(15661)   (Show Source): You can put this solution on YOUR website!Maria bicycles 6km/h faster than Praedup. In the same time it takes Praedup to bicycle 33km, Maria can bicycle 51 km. How fast does each bicyclist travel? : Let s = P's speed on a bike then (s+6) = M.s speed : Write a time equation, Time = dist/speed : Given that: M's travel time = P's travel time = Cross multiply 51s = 33(s+6) 51s = 33s + 198 51s - 33s = 198 s = s = 11 km/hr is P's speed then, obviously: 11 + 6 = 17 km/hr is M's speed : ; Confirm this by finding that the times are equal: 55/17 = 3 hrs 33/11 = 3 hrs