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?
I don't understand any of the responses.
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.

Math word problem 
Writeacher,
Erica, David, Shawn, or whoever,
Your question has been answered below. If there is a particular part of the response that you don't understand, please let the math teachers know what that is. To simply say you don't understand doesn't give them much to work with. 
Math word problem 
Erica,
I am having problems with this part:
add the equations...
33+63)km/time=64km/hr
then time= 96/64 hr (I know this is 1.5)
Now solve for speed of wind in the first equation..
(is it 33km/1.5 =22)
33km/time=32km/hrspeedwind. 
Math word problem 
bobpursley,
I assume you can add the equations.
Then solve for time.
Now to solve for wind speed
33/1.5=32speedwind
33/1.5 32=speedwind
I assume you can solve that. 
Math word problem 
Shawn,
Thank you I have the answer as 10km/h.