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?

200/40 = 5 hours

If a man runs for an hour and a half at 8 miles an hour Due south and then he continues south on a bus traveling 55 miles an hour for 24 minutes how far did you travel

To find out how long you can listen to the station before the signal fades, we need to determine the time it takes to traverse the diameter of the signal at a speed of 40 miles per hour.

Step 1: Calculate the distance of the diameter.
Since the radius of the signal is 100 miles, the diameter can be calculated as 2 times the radius:
Diameter = 2 x Radius = 2 x 100 miles = 200 miles

Step 2: Calculate the time it takes to traverse the diameter.
To find the time it takes to travel a certain distance, we can use the formula: time = distance / speed.
In this case, the distance we want to cover is the diameter, which is 200 miles, and the constant speed is 40 miles per hour.
Time = Distance / Speed = 200 miles / 40 miles per hour = 5 hours

Therefore, you can listen to the radio station for 5 hours before the signal fades, while driving at a constant speed of 40 miles per hour directly across the diameter of the signal.

To determine how long you can listen to the station before the signal fades, we need to calculate the time it takes to cross the diameter of the signal.

First, we need to find the diameter of the radio station's signal. Since the radius is given as 100 miles, we can multiply it by 2 to get the diameter:

Diameter = 2 * Radius
Diameter = 2 * 100 miles
Diameter = 200 miles

Now, we can find the time it takes to travel the distance of the diameter by dividing it by your constant speed:

Time = Distance / Speed
Time = 200 miles / 40 miles per hour
Time = 5 hours

Therefore, you can listen to the station for a total of 5 hours before the signal fades if you drive at a constant speed of 40 miles per hour nonstop, directly across the diameter of the signal.