When at rest, two trains have sirens that emit a frequency of 300 Hz. The trains

Question

When at rest, two trains have sirens that emit a frequency of 300 Hz. The trains travel toward one another and toward an observer stationed between them. One of the trains moves at 32.5 m/s, and the observer hears a beat frequency of 3.4 beats per second. What is the speed of the second train, which travels faster than 32.5 m/s?
1

32.5  (answer I gave)
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s

Explanation / Answer

f1=300*c/(c-32.5)

f2=300*c/(c-v)

f2-f1=3.4=300c(v-32.5)/((c-32.5)(c-v))

So

assuming c=343.2m/s (at 20 deg)

we get v=35.655m/s

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