Solution
We will check each leg of Kiley's trip one after the other
(1). From House to the Airport
Distance = 24.3 miles
Time = 1/2 hour
Ratio of Miles to Hour is
[tex]24.3\colon\frac{1}{2}[/tex]
Express the ratio as a decimal number
[tex]48.6[/tex]
Unit rate in miles per hour (mph)
[tex]48.6\text{mph}[/tex]
(2). From Car to the Waiting Area
Distance = 1.2 miles
Time = 3/4 hours
Ratio of Miles to Hour is
[tex]1.2\colon\frac{3}{4}[/tex]
Express the ratio as a decimal number
[tex]1.6[/tex]
Unit rate in miles per hour (mph)
[tex]1.6\text{mph}[/tex]
(3). Plane Flew in Air
Distance = 346 miles
Time = 9/4 hours
Ratio of Miles to Hour is
[tex]346\colon\frac{9}{4}[/tex]
Express the ratio as a decimal number
[tex]\begin{gathered} 153.\bar{7} \\ \text{That is 153.77777777 (written as 153. 7bar)} \end{gathered}[/tex]
Unit rate in miles per hour (mph)
[tex]153.\bar{7}\text{mph}[/tex]
(4). Walking from plane landing to get a cab
Distance = 1.1 miles
Time = 30 minutes = 30/60 hours = 1/2 hours
Ratio of Miles to Hour is
[tex]1.1\colon\frac{1}{2}[/tex]
Express the ratio as a decimal number
[tex]2.2[/tex]
Unit rate in miles per hour (mph)
[tex]2.2\text{mph}[/tex]
(5). Cab to Grandmother house
Distance = 12.3 miles
Time = 15minutes = 15/60 hours = 1/4 hours
Ratio of Miles to Hour is
[tex]12.3\colon\frac{1}{4}[/tex]
Express the ratio as a decimal number
[tex]49.2[/tex]
Unit rate in miles per hour (mph)
[tex]49.2\text{mph}[/tex]
