Question

use the following unit fractions to express 135 miles per hour in feet per second.
\frac{5280 ft}{1 mi},\frac{60 min}{1 hr}, and \frac{60 sec}{1 min}
\frac{135 mi}{hr}=\frac{square ft}{sec} (simplify your answer.)

Explanation:

Step1: Convert miles to feet

We know that 1 mile = 5280 feet. So for 135 miles, the number of feet is $135\times5280$ feet.
$135\times5280 = 712800$ feet.

Step2: Convert hours to seconds

We know that 1 hour = 60 minutes and 1 minute = 60 seconds. So 1 hour = $60\times60=3600$ seconds.

Step3: Calculate feet - per - second

To find the speed in feet per second, we divide the number of feet by the number of seconds. The speed $v=\frac{135\times5280}{60\times60}$.
$v=\frac{712800}{3600}=198$ feet per second.

Answer:

198