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)
[tex] \frac{22 ft}{sec} * \frac{60 sec}{min} * \frac{60 min}{hr} * \frac{1 mi}{5280 ft} [/tex]
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.
