aneesha travels at a rate of 50 miles per hour. morris is traveling 3 feet per second less than aneesha…

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? 1 mile = 5,280 feet 45 miles per hour 46 miles per hour 47 miles per hour 48 miles per hour

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? 1 mile = 5,280 feet 45 miles per hour 46 miles per hour 47 miles per hour 48 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 $50\times5280\div3600=\frac{50\times5280}{3600}=\frac{264000}{3600}=\frac{220}{3}\approx73.33$ feet per second.

Step2: Find 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 $\frac{220}{3}- 3=\frac{220 - 9}{3}=\frac{211}{3}$ feet per second.

Step3: Convert Morris's speed to miles per hour

Let $x$ be Morris's speed in miles per hour. We know that $x\times5280\div3600=\frac{211}{3}$. Cross - multiply gives $x\times5280=\frac{211}{3}\times3600$. Then $x\times5280 = 211\times1200$. So $x=\frac{211\times1200}{5280}=\frac{253200}{5280}=48$ miles per hour.