Hi, there--

THE PROBLEM:
Jared rode 4 and 3/4 miles in 1/4 hour. What is Jared's unit rate in miles per hour?

A SOLUTION:
The are a number of ways to solve this problem. Here is one:

METHOD 1: We want to know the Jared's unit rate in miles per hour. In other words, how far 
does he ride each hour. 

We are told how far Jared walked in 1/4 hour (4 3/4 miles). There are four 1/4 hour time 
segments in one hour. In each of those segments, Jared rode 4 3/4 miles. So we multiply
4 * (4 3/4) = 19 miles

Jared rides 19 miles in each hour, or 19 miles per hour.

You can also set this up as an equation of equivalent ratios/fractions. This method is simpler 
with numbers written as decimals.

4 3/4 = 4.75
1/4 = .25


Let x be the distance Jared travels in one hour.

Here is the ratio for distance-to-time:


Multiply the left hand side by 4/4 to make the denominators the same


Multiply the fractions on the left hand side.


We see that x = 19. Jared rides at a rate  of 19 miles per hour.

~Mrs. Figgy