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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?

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    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?

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    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.

  • Help -

    Now solve for speed of wind in the first equation..
    33km/time=32km/hr-speedwind.

    How do I do that?

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