Answer :
To determine the rate of speed Morris is traveling, we need to follow these steps:
1. Convert Aneesha’s speed from miles per hour to feet per second:
- Aneesha's speed is 50 miles per hour.
- We know that 1 mile is 5280 feet and 1 hour is 3600 seconds.
- Therefore, to convert miles per hour to feet per second:
[tex]\[ \text{Aneesha's speed in feet per second} = 50 \, \text{miles per hour} \times \frac{5280 \, \text{feet}}{1 \, \text{mile}} \times \frac{1 \, \text{hour}}{3600 \, \text{seconds}} \][/tex]
- Simplifying:
[tex]\[ \text{Aneesha's speed in feet per second} = 50 \times \frac{5280}{3600} \approx 73.33 \, \text{feet per second} \][/tex]
2. Determine Morris’s speed in feet per second:
- Morris is traveling 3 feet per second less than Aneesha.
- Therefore, Morris’s speed is:
[tex]\[ \text{Morris's speed in feet per second} = 73.33 \, \text{feet per second} - 3 \, \text{feet per second} = 70.33 \, \text{feet per second} \][/tex]
3. Convert Morris’s speed back to miles per hour:
- To convert feet per second to miles per hour, we reverse the conversion:
[tex]\[ \text{Morris's speed in miles per hour} = 70.33 \, \text{feet per second} \times \frac{1 \, \text{mile}}{5280 \, \text{feet}} \times \frac{3600 \, \text{seconds}}{1 \, \text{hour}} \][/tex]
- Simplifying:
[tex]\[ \text{Morris's speed in miles per hour} \approx 70.33 \times \frac{3600}{5280} \approx 47.95 \, \text{miles per hour} \][/tex]
Hence, the most accurate rate of speed that Morris is traveling is approximately 47 miles per hour.
1. Convert Aneesha’s speed from miles per hour to feet per second:
- Aneesha's speed is 50 miles per hour.
- We know that 1 mile is 5280 feet and 1 hour is 3600 seconds.
- Therefore, to convert miles per hour to feet per second:
[tex]\[ \text{Aneesha's speed in feet per second} = 50 \, \text{miles per hour} \times \frac{5280 \, \text{feet}}{1 \, \text{mile}} \times \frac{1 \, \text{hour}}{3600 \, \text{seconds}} \][/tex]
- Simplifying:
[tex]\[ \text{Aneesha's speed in feet per second} = 50 \times \frac{5280}{3600} \approx 73.33 \, \text{feet per second} \][/tex]
2. Determine Morris’s speed in feet per second:
- Morris is traveling 3 feet per second less than Aneesha.
- Therefore, Morris’s speed is:
[tex]\[ \text{Morris's speed in feet per second} = 73.33 \, \text{feet per second} - 3 \, \text{feet per second} = 70.33 \, \text{feet per second} \][/tex]
3. Convert Morris’s speed back to miles per hour:
- To convert feet per second to miles per hour, we reverse the conversion:
[tex]\[ \text{Morris's speed in miles per hour} = 70.33 \, \text{feet per second} \times \frac{1 \, \text{mile}}{5280 \, \text{feet}} \times \frac{3600 \, \text{seconds}}{1 \, \text{hour}} \][/tex]
- Simplifying:
[tex]\[ \text{Morris's speed in miles per hour} \approx 70.33 \times \frac{3600}{5280} \approx 47.95 \, \text{miles per hour} \][/tex]
Hence, the most accurate rate of speed that Morris is traveling is approximately 47 miles per hour.
