Acyclist rides his bike at a speed of 22 feet per second. what is this speed in miles per hour? how many miles will the cyclist travel in 4 hours? in your computations, use the fact that 1 mile is equal to 5280 feet. do not round your answers.

First we set up proportions to find out how many miles per hour the cyclists rides his bike at. 

Let ft = feet, sec = second(s), min = minute(s), hr = hour(s), mi = mile(s)



Translation of all that: The cyclist goes 22 feet per second. There are 60 seconds in a minutes and 60 minutes in an hour. 1 mile is equal to 5280 feet. Multiply these fractions all together; everything will cancel except for miles divided by hours AKA miles per hour. 

22 * 60 * 60 * 1 = 79200
79200 / 5280 = 15

He is going 15 miles per hour. So he will go 60 miles in 4 hours. 

Main idea on left, details on right