Answer:
D. 48 miles per hour.
Step-by-step explanation:
We have been given that Aneesha travels at a rate of 50 miles per hour.
Let us convert Annesha's speed to feet per seconds.
1 miles = 5280 feet.
50 miles = 50*5280 feet = 264000 feet.
1 minute = 60 seconds
1 hour = 60 minutes.
1 hour = 60*60 seconds = 3600 seconds.
[tex]\text{Aneesha's speed}=\frac{264000\text{ feet}}{3600\text{ seconds}}[/tex]
[tex]\text{Aneesha's speed}=73.333\frac{\text{ feet}}{\text{ second}}[/tex]
We are told that Morris speed is 3 feet per second less than Aneesha's speed. So let us subtract 3 from Aneesha's speed.
[tex]\text{Morris's speed}=(73.333-3)\frac{\text{ feet}}{\text{ second}}[/tex]
[tex]\text{Morris's speed}=70.333\frac{\text{ feet}}{\text{ second}}[/tex]
Now let us convert Morris's speed into miles per hour by multiplying his speed by 0.681818 as 1 feet per second equals 0.681818 miles per hour.
[tex]\text{Morris's speed}=70.333*0.681818\frac{\text{ miles}}{\text{ hour}}[/tex]
[tex]\text{Morris's speed}=47.9545326666666666439394\frac{\text{ miles}}{\text{ hour}}[/tex]
[tex]\text{Morris's speed}\approx 48\frac{\text{ miles}}{\text{ hour}}[/tex]
Therefore, Morris is traveling at a rate of 48 miles per hour and option D is the correct choice.
