SOLUTION: Maria bicycles 4km/h faster than Praedup. In the same time it takes Praedup to bicycle 36km, Maria can bicycle 48km. How fast does each bicyclist travel?

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Question 315535: Maria bicycles 4km/h faster than Praedup. In the same time it takes Praedup to bicycle 36km, Maria can bicycle 48km. How fast does each bicyclist travel?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Maria bicycles 4km/h faster than Praedup.
In the same time it takes Praedup to bicycle 36km, Maria can bicycle 48km.
How fast does each bicyclist travel?
:
let s = P's biking speed
"Maria bicycles 4 km per hour faster than P"; therefore:
(s+4) = M's biking speed
:
Write a time equation; time = dist/speed
:
M's time = P's time
=
Cross multiply
48s = 36(s+4)
:
48s = 36s + 144
:
48s - 36s = 144
:
12s = 144
s =
s = 12 km/h is P's speed
then
12 + 4 = 16 km/hr is M's speed
:
:
check solution by finding the times, (should be equal)
36/12 = 3 hrs
48/16 = 3 hrs; confirms our solutions