42. Twenty minutes after a plane leaves the airport, it is reported to be 160 miles away. What average speed of the plane in the miles per hour?
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20/60 = 1/3 of an hour
distance = speed * time
160 miles = speed * (1/3) hour
speed = 3 * 160 miles/hour
= 480 miles/hour
To calculate the average speed of the plane, we need to use the formula: speed = distance / time.
In this case, we know that the distance is 160 miles, but we don't have the time. However, we do know that the plane traveled this distance in 20 minutes.
To calculate the average speed in miles per hour, we need to convert the time from minutes to hours. Since there are 60 minutes in an hour, divide the time by 60:
20 minutes ÷ 60 = 0.33 hours (rounded to two decimal places).
Now we can substitute the values into the formula:
speed = distance / time
speed = 160 miles / 0.33 hours
Performing the calculation:
speed ≈ 484.85 miles per hour
Therefore, the average speed of the plane is approximately 484.85 miles per hour.