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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.
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