If a speed of 15 mph is equivalent to 22 feet per second, what is the nearest equivalent speed for 40 feet per second?

To determine the equivalent speed for 40 feet per second, we can start by understanding the conversion between miles per hour and feet per second.

From the initial conversion, we know that 15 mph equals 22 feet per second. To find the conversion factor, we can look at this ratio more closely. First, we can convert miles to feet: there are 5280 feet in a mile. Therefore, 15 miles is equal to (15 \times 5280) feet over the span of one hour, which is 3600 seconds. This gives us the equation:

[ \text{Speed in feet per second} = \frac{15 \times 5280 \text{ feet}}{3600 \text{ seconds}} \approx 22 \text{ feet per second} ]

This calculation confirms the original ratio. To find the speed in mph for 40 feet per second, we can set up a proportion based on the initial information:

[ \frac{15 \text{ mph}}{22 \text{ feet/second}} = \frac{x \text{ mph}}{40 \text{ feet/second}} ]

Cross-multiplying gives us:

[ 22x =