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(22740) (Show Source):
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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