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

1 answer

First, let's convert Aneesha's speed from miles per hour to feet per second.

Aneesha's speed: 50 miles per hour.

To convert miles to feet: 1 mile = 5,280 feet So, 50 miles = 50 × 5,280 = 264,000 feet.

Now, to convert hours to seconds: 1 hour = 3,600 seconds So, 50 miles per hour = 264,000 feet/3,600 seconds ≈ 73.33 feet per second.

Since Morris is traveling 3 feet per second less than Aneesha: Morris's speed = 73.33 feet per second - 3 feet per second = 70.33 feet per second.

Now, we need to convert this back to miles per hour.

First, convert 70.33 feet per second to miles per hour.

\[ 70.33 \text{ feet/second} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = 253,188 \text{ feet/hour} \]

Next, convert feet per hour to miles per hour:

\[ \frac{253,188 \text{ feet/hour}}{5,280 \text{ feet/mile}} \approx 47.94 \text{ miles/hour}. \]

Now, rounding this to the nearest whole number gives us approximately 48 miles per hour.

Thus, the most accurate rate of speed that Morris is traveling is:

48 miles per hour.