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 befor?

If you drive directly across the diameter of the radio station's signal, you will travel a distance of 200 miles (the diameter is twice the radius). At a constant speed of 40 miles per hour, it will take you 5 hours to cover that distance (200 miles ÷ 40 miles per hour = 5 hours). Therefore, you can listen to the station for 5 hours before you lose the signal.