Doppler effect and Bicycle?

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goodlill

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You are riding your bicycle directly away from a stationary source of sound and hear a frquency that is 1.0% lower than the emiited frequency. The speed of sound is 343m/s. What is your speed?

I must say that this relatively simple question frustrated me. this is what i did

ok f(o) = 0.01f(s)

So f(o)/f(s) = 1 - v(o)/v
0.01 = 1 - v(o)/343
v(o)/343 = 1 - 0.01
v(o)/343 = 0.99
v(o) = 339.57m/s which is impossible. you cannot ride a bicyle at this speed unless you are superman. What did I do wrong. Please help me.
 
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