A student near a railroad track hears a train's whistle when the train is coming directly toward him and then when it is going directly away. The two observed frequencies are 250 and 200 Hz. Assume the speed of sound in air to be 360 m/s. what is the train's speed?
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Let 
be respectively the frequency of the whistle emitted by the train, and the frequencies heard by the student when the train is coming and when it is moving away. The Doppler effect has it that
Where c is the speed of sound and v is the speed of the train, and thus
Putting in the data, we have
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