Question

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/hr-Speedwind
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/hr-speedwind.

Answer 1

Erica, David, Shawn, or whoever,

Your question has been answered below. If there is <b>a particular part</b> 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.

Answer 2

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/hr-speedwind.

Answer 3

I assume you can add the equations.

Then solve for time.

Now to solve for wind speed

33/1.5=32-speedwind
33/1.5 -32=-speedwind
I assume you can solve that.

Answer 4

Thank you I have the answer as 10km/h.