aneesha travels at a rate of 50 miles per hou...
aneesha travels at a rate of 50 miles per hour. morris is traveling 3 feet per second less than aneesha. which is the most accurate rate of speed morris is traveling?\n1 mile = 5,280 feet\n45 miles per hour\n46 miles per hour\n47 miles per hour\n48 miles per hour
Answer
# Answer:
D. 48 miles per hour
# Explanation:
## Step1: Convert Aneesha's speed to feet per second
1 hour = 3600 seconds. Aneesha's speed is 50 miles per hour. Since 1 mile = 5280 feet, her speed in feet per second is $50\times5280\div3600=\frac{50\times5280}{3600}=\frac{264000}{3600}=\frac{220}{3}\text{ feet per second}$.
## Step2: Calculate Morris's speed in feet per second
Morris is traveling 3 feet per second less than Aneesha. So Morris's speed in feet per second is $\frac{220}{3}- 3=\frac{220 - 9}{3}=\frac{211}{3}\text{ feet per second}$.
## Step3: Convert Morris's speed to miles per hour
To convert feet - per - second to miles per hour, we use the conversion factor. Let $x$ be Morris's speed in miles per hour. Then $x=\frac{211}{3}\times3600\div5280$. First, $\frac{211}{3}\times3600 = 211\times1200 = 253200$. Then $x=\frac{253200}{5280}=48$ miles per hour.