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Answer :
Sure, let's work through each part of the question step-by-step:
a) How far will the car travel in 4.5 hours?
To find out how far the car will travel in 4.5 hours, we can use the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given that the speed of the car is 27 mph, and the time is 4.5 hours, we calculate:
[tex]\[ \text{Distance} = 27 \, \text{mph} \times 4.5 \, \text{hours} = 121.5 \, \text{miles} \][/tex]
b) How far will the car travel in 40 minutes?
First, we need to convert 40 minutes into hours because the speed is given in miles per hour. There are 60 minutes in an hour, hence:
[tex]\[ \text{Time in hours} = \frac{40}{60} = \frac{2}{3} \, \text{hours} \][/tex]
Then, use the distance formula:
[tex]\[ \text{Distance} = 27 \, \text{mph} \times \frac{2}{3} \, \text{hours} = 18 \, \text{miles} \][/tex]
c) How long will it take to travel 80 miles in hours?
To find the time, we use the formula:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Given that the distance is 80 miles:
[tex]\[ \text{Time} = \frac{80 \, \text{miles}}{27 \, \text{mph}} \approx 2.96 \, \text{hours} \][/tex]
d) How long will it take to travel 80 miles in minutes?
Since there are 60 minutes in an hour, we convert the time from hours to minutes:
[tex]\[ \text{Time in minutes} = 2.96 \, \text{hours} \times 60 \, \frac{\text{minutes}}{\text{hour}} \approx 177.78 \, \text{minutes} \][/tex]
These are the solutions to each part based on the conditions given. Let me know if you need further assistance!
a) How far will the car travel in 4.5 hours?
To find out how far the car will travel in 4.5 hours, we can use the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given that the speed of the car is 27 mph, and the time is 4.5 hours, we calculate:
[tex]\[ \text{Distance} = 27 \, \text{mph} \times 4.5 \, \text{hours} = 121.5 \, \text{miles} \][/tex]
b) How far will the car travel in 40 minutes?
First, we need to convert 40 minutes into hours because the speed is given in miles per hour. There are 60 minutes in an hour, hence:
[tex]\[ \text{Time in hours} = \frac{40}{60} = \frac{2}{3} \, \text{hours} \][/tex]
Then, use the distance formula:
[tex]\[ \text{Distance} = 27 \, \text{mph} \times \frac{2}{3} \, \text{hours} = 18 \, \text{miles} \][/tex]
c) How long will it take to travel 80 miles in hours?
To find the time, we use the formula:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Given that the distance is 80 miles:
[tex]\[ \text{Time} = \frac{80 \, \text{miles}}{27 \, \text{mph}} \approx 2.96 \, \text{hours} \][/tex]
d) How long will it take to travel 80 miles in minutes?
Since there are 60 minutes in an hour, we convert the time from hours to minutes:
[tex]\[ \text{Time in minutes} = 2.96 \, \text{hours} \times 60 \, \frac{\text{minutes}}{\text{hour}} \approx 177.78 \, \text{minutes} \][/tex]
These are the solutions to each part based on the conditions given. Let me know if you need further assistance!
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