Ms.Morton is running at 7.38 miles/hour
Explanation:
distance = 2 miles
time = 16 minutes and 15 seconds
We need one unit for the time. Converting seconds to minute:
60 seconds = 1 minute
Using dimensional analysis:
[tex]\begin{gathered} 15\text{ seconds}\times\frac{1\text{ minutes}}{60\text{ seconds}} \\ =\text{ 0.25 minutes} \\ \text{time = 16 minutes 15 seconds} \\ \text{time = 16 mins + 0.25 mins = 16.25mins} \end{gathered}[/tex]
speed = distance/ time
The speed in miles per hour:
60 minutes = 1 hour
[tex]\begin{gathered} \text{speed = }\frac{2miles}{16.25\text{ minutes}} \\ =\text{ }\frac{2miles}{16.25\text{ minutes}}\times\frac{60\text{ minutes}}{1\text{ hour}} \\ =\text{ }\frac{120\text{ miles}}{16.25\text{ hour}} \\ =7.38\text{ miles/hour} \end{gathered}[/tex]
Ms.Morton is running at 7.38 miles/hour