Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
To determine Morris's speed in miles per hour, let's go through a step-by-step solution:
1. Convert Aneesha's speed from miles per hour to feet per second:
- Aneesha's speed is 50 miles per hour.
- There are 5280 feet in one mile.
- There are 3600 seconds in one hour.
First, convert Aneesha's speed from miles per hour to feet per second:
[tex]\[ \text{Aneesha's speed (feet/second)} = \left( 50 \, \text{miles/hour} \right) \times \left( \frac{5280 \, \text{feet}}{1 \, \text{mile}} \right) \times \left( \frac{1 \, \text{hour}}{3600 \, \text{seconds}} \right) \][/tex]
Simplifying, we get:
[tex]\[ \text{Aneesha's speed (feet/second)} = \left( 50 \times 5280 \right) / 3600 = 73.33 \, \text{feet/second} \][/tex]
2. Calculate Morris's speed in feet per second:
- Morris is traveling 3 feet per second less than Aneesha.
- Aneesha's speed is 73.33 feet per second.
Therefore, Morris's speed in feet per second:
[tex]\[ \text{Morris's speed (feet/second)} = 73.33 \, \text{feet/second} - 3 \, \text{feet/second} = 70.33 \, \text{feet/second} \][/tex]
3. Convert Morris's speed from feet per second back to miles per hour:
- We need to convert feet per second to miles per hour. We use the same conversion factors in reverse:
- There are 5280 feet in one mile.
- There are 3600 seconds in one hour.
Therefore, Morris's speed in miles per hour:
[tex]\[ \text{Morris's speed (miles/hour)} = \left( 70.33 \, \text{feet/second} \right) \times \left( \frac{3600 \, \text{seconds}}{1 \, \text{hour}} \right) \times \left( \frac{1 \, \text{mile}}{5280 \, \text{feet}} \right) \][/tex]
Simplifying, we get:
[tex]\[ \text{Morris's speed (miles/hour)} = \left( 70.33 \times 3600 \right) / 5280 = 48 \, \text{miles/hour} \][/tex]
Thus, Morris is traveling at a speed of 48 miles per hour. So, the most accurate rate of speed Morris is traveling is 48 miles per hour.
1. Convert Aneesha's speed from miles per hour to feet per second:
- Aneesha's speed is 50 miles per hour.
- There are 5280 feet in one mile.
- There are 3600 seconds in one hour.
First, convert Aneesha's speed from miles per hour to feet per second:
[tex]\[ \text{Aneesha's speed (feet/second)} = \left( 50 \, \text{miles/hour} \right) \times \left( \frac{5280 \, \text{feet}}{1 \, \text{mile}} \right) \times \left( \frac{1 \, \text{hour}}{3600 \, \text{seconds}} \right) \][/tex]
Simplifying, we get:
[tex]\[ \text{Aneesha's speed (feet/second)} = \left( 50 \times 5280 \right) / 3600 = 73.33 \, \text{feet/second} \][/tex]
2. Calculate Morris's speed in feet per second:
- Morris is traveling 3 feet per second less than Aneesha.
- Aneesha's speed is 73.33 feet per second.
Therefore, Morris's speed in feet per second:
[tex]\[ \text{Morris's speed (feet/second)} = 73.33 \, \text{feet/second} - 3 \, \text{feet/second} = 70.33 \, \text{feet/second} \][/tex]
3. Convert Morris's speed from feet per second back to miles per hour:
- We need to convert feet per second to miles per hour. We use the same conversion factors in reverse:
- There are 5280 feet in one mile.
- There are 3600 seconds in one hour.
Therefore, Morris's speed in miles per hour:
[tex]\[ \text{Morris's speed (miles/hour)} = \left( 70.33 \, \text{feet/second} \right) \times \left( \frac{3600 \, \text{seconds}}{1 \, \text{hour}} \right) \times \left( \frac{1 \, \text{mile}}{5280 \, \text{feet}} \right) \][/tex]
Simplifying, we get:
[tex]\[ \text{Morris's speed (miles/hour)} = \left( 70.33 \times 3600 \right) / 5280 = 48 \, \text{miles/hour} \][/tex]
Thus, Morris is traveling at a speed of 48 miles per hour. So, the most accurate rate of speed Morris is traveling is 48 miles per hour.
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.