Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.
Sagot :
To solve the problem of determining Morris's speed given that he travels 3 feet per second less than Aneesha, let's work through the conversion and calculations step-by-step.
Step 1: Convert Aneesha's speed from miles per hour to feet per second.
Aneesha's speed is [tex]\( 50 \)[/tex] miles per hour. We need to convert this speed to feet per second.
[tex]\[ 1 \text{ mile} = 5,280 \text{ feet} \][/tex]
[tex]\[ 1 \text{ hour} = 3,600 \text{ seconds} \][/tex]
So, to convert miles per hour to feet per second, we use the formula:
[tex]\[ \text{speed in feet per second} = \text{speed in miles per hour} \times \frac{\text{feet per mile}}{\text{seconds per hour}} \][/tex]
Plugging in the values:
[tex]\[ \text{Aneesha's speed in feet per second} = 50 \text{ miles per hour} \times \frac{5,280 \text{ feet}}{3,600 \text{ seconds}} \][/tex]
Calculating this:
[tex]\[ \text{Aneesha's speed in feet per second} \approx 73.333 \text{ feet per second} \][/tex]
Step 2: Determine Morris's speed in feet per second.
Morris is traveling 3 feet per second less than Aneesha. So, we subtract 3 feet per second from Aneesha's speed:
[tex]\[ \text{Morris's speed in feet per second} = 73.333 \text{ feet per second} - 3 \text{ feet per second} \][/tex]
[tex]\[ \text{Morris's speed in feet per second} \approx 70.333 \text{ feet per second} \][/tex]
Step 3: Convert Morris's speed from feet per second back to miles per hour.
Again, we use the conversion factors:
[tex]\[ 1 \text{ mile} = 5,280 \text{ feet} \][/tex]
[tex]\[ 1 \text{ hour} = 3,600 \text{ seconds} \][/tex]
To convert feet per second to miles per hour, we use:
[tex]\[ \text{speed in miles per hour} = \text{speed in feet per second} \times \frac{3,600 \text{ seconds}}{5,280 \text{ feet}} \][/tex]
Plugging in Morris's speed:
[tex]\[ \text{Morris's speed in miles per hour} = 70.333 \text{ feet per second} \times \frac{3,600 \text{ seconds}}{5,280 \text{ feet}} \][/tex]
Calculating this:
[tex]\[ \text{Morris's speed in miles per hour} \approx 47.955 \text{ miles per hour} \][/tex]
Therefore, the most accurate rate of speed Morris is traveling is approximately [tex]\( 47.955 \)[/tex] miles per hour.
When rounding to the nearest whole number, Morris's speed is approximately [tex]\( 48 \)[/tex] miles per hour.
Thus, the most accurate rate of speed Morris is traveling is indeed 48 miles per hour.
Step 1: Convert Aneesha's speed from miles per hour to feet per second.
Aneesha's speed is [tex]\( 50 \)[/tex] miles per hour. We need to convert this speed to feet per second.
[tex]\[ 1 \text{ mile} = 5,280 \text{ feet} \][/tex]
[tex]\[ 1 \text{ hour} = 3,600 \text{ seconds} \][/tex]
So, to convert miles per hour to feet per second, we use the formula:
[tex]\[ \text{speed in feet per second} = \text{speed in miles per hour} \times \frac{\text{feet per mile}}{\text{seconds per hour}} \][/tex]
Plugging in the values:
[tex]\[ \text{Aneesha's speed in feet per second} = 50 \text{ miles per hour} \times \frac{5,280 \text{ feet}}{3,600 \text{ seconds}} \][/tex]
Calculating this:
[tex]\[ \text{Aneesha's speed in feet per second} \approx 73.333 \text{ feet per second} \][/tex]
Step 2: Determine Morris's speed in feet per second.
Morris is traveling 3 feet per second less than Aneesha. So, we subtract 3 feet per second from Aneesha's speed:
[tex]\[ \text{Morris's speed in feet per second} = 73.333 \text{ feet per second} - 3 \text{ feet per second} \][/tex]
[tex]\[ \text{Morris's speed in feet per second} \approx 70.333 \text{ feet per second} \][/tex]
Step 3: Convert Morris's speed from feet per second back to miles per hour.
Again, we use the conversion factors:
[tex]\[ 1 \text{ mile} = 5,280 \text{ feet} \][/tex]
[tex]\[ 1 \text{ hour} = 3,600 \text{ seconds} \][/tex]
To convert feet per second to miles per hour, we use:
[tex]\[ \text{speed in miles per hour} = \text{speed in feet per second} \times \frac{3,600 \text{ seconds}}{5,280 \text{ feet}} \][/tex]
Plugging in Morris's speed:
[tex]\[ \text{Morris's speed in miles per hour} = 70.333 \text{ feet per second} \times \frac{3,600 \text{ seconds}}{5,280 \text{ feet}} \][/tex]
Calculating this:
[tex]\[ \text{Morris's speed in miles per hour} \approx 47.955 \text{ miles per hour} \][/tex]
Therefore, the most accurate rate of speed Morris is traveling is approximately [tex]\( 47.955 \)[/tex] miles per hour.
When rounding to the nearest whole number, Morris's speed is approximately [tex]\( 48 \)[/tex] miles per hour.
Thus, the most accurate rate of speed Morris is traveling is indeed 48 miles per hour.
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.
