If a speed of 15 miles per hour is exactly 22 feet per second, how many miles correspond to 30 feet per second?

To find how many miles correspond to a speed of 30 feet per second, we can start by establishing the relationship between miles per hour and feet per second based on the provided information.

It is given that a speed of 15 miles per hour is equivalent to 22 feet per second. To find the relationship, we can establish the conversion factor for miles to feet and seconds. There are 5280 feet in a mile, and one hour has 3600 seconds. Therefore, to convert miles per hour to feet per second, we can use the following conversion:

1 mile per hour = 5280 feet / 3600 seconds = 1.46667 feet per second.

Now, we can establish a linear relationship of speed by calculating how many miles correspond to 30 feet per second using the conversion established from the initial data:

First, we need to find the equivalent speed in miles per hour:

30 feet per second = 30 feet / (1.46667 feet per second) miles per hour.

Calculating this gives:

30 feet per second = 30 (1 hour / 3600 seconds) = 30 * 3600 / 5280 miles per hour = 20 miles per hour.

Thus, if