To determine the rate at which Morris is traveling, we need to follow these steps:
1. Convert Aneesha's speed from miles per hour (mph) to feet per second (fps):
- First, remember that 1 mile is equal to 5,280 feet.
- Also, there are 3,600 seconds in 1 hour.
- Aneesha's speed is 50 mph.
- To convert miles per hour to feet per second:
[tex]\[
\text{Speed in fps} = \frac{\text{Speed in mph} \times \text{Feet per mile}}{\text{Seconds per hour}}
\][/tex]
Plugging in the values:
[tex]\[
\text{Aneesha's speed} = \frac{50 \times 5,280}{3,600} = \frac{264,000}{3,600} = 73.3333 \text{ fps}
\][/tex]
2. Calculate Morris's speed in feet per second:
- Morris is traveling 3 feet per second less than Aneesha.
- Therefore, Morris's speed in fps:
[tex]\[
\text{Morris's speed} = 73.3333 \text{ fps} - 3 \text{ fps} = 70.3333 \text{ fps}
\][/tex]
3. Convert Morris's speed back to miles per hour (mph):
- To convert feet per second to miles per hour:
[tex]\[
\text{Speed in mph} = \frac{\text{Speed in fps} \times \text{Seconds per hour}}{\text{Feet per mile}}
\][/tex]
- Plugging in the values:
[tex]\[
\text{Morris's speed} = \frac{70.3333 \times 3,600}{5,280} = \frac{253,200}{5,280} = 48 \text{ mph}
\][/tex]
So, the most accurate rate of speed Morris is traveling is:
[tex]\[
\boxed{48 \text{ miles per hour}}
\][/tex]
