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posted by Erica on .
Erik bicycles 32 km/h with no wind. Against the wind he bikes 33 km in the same time it takes to bike 63 km with the wind. What is the speed of the wind?

This school subject is math.

Erik bicycles 32 km/h with no wind. Against the wind he bikes 33 km in the same time it takes to bike 63 km with the wind. What is the speed of the wind?

You have to assume in this case the wind retards and assists with the same force, which is not usually true.
Vrg=Vrgs+Vwind
where Vrg is net velocity relative to ground, Vrgs is velocity relative to ground in still conditions, and Vwind is the velocity of the wind.
Vrgs=32
33km/time=32km/hrSpeedwind
63km/time=32km/hr+speed wind.
add the equations...
33+63)km/time=64km/hr
then time= 96/64 hr
Now solve for speed of wind in the first equation..
33km/time=32km/hrspeedwind. 
Now solve for speed of wind in the first equation..
33km/time=32km/hrspeedwind.
How do I do that?