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A radio station's signal has a radius of 100 miles. If you drive at a constant speed of 40 miles an hour, nonstop, directly across the diameter of the signal, how long can you listen to the station before the signal fades?
4 hours
2.5 hours
2 hours
5 hours

Respuesta :

Option D is the correct answer.

Step-by-step explanation:

A radio station's signal has a radius of 100 miles.

Diameter = 2 x 100 = 200 miles

If you drive at a constant speed of 40 miles an hour

Speed of vehicle = 40 miles per hour.

We have

        Distance traveled = Speed X Time taken

        200 = 40 X Time

        Time = 5 hours

So after riding 5 hours the vehicle falls outside of signal range.

Option D is the correct answer.

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