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April 17, 2014

Homework Help: Math word problem

Posted by Erica on Sunday, October 12, 2008 at 1:42pm.

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.

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