Answer :
To find out how long Tim's journey took, you can use the formula for time, which is derived from the relationship between distance, speed, and time:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Here are the steps to solve the problem:
1. Identify the values given in the problem:
- Distance: 300 kilometers
- Speed: 80 km/h
2. Calculate the total time in hours:
- Using the formula above, divide the distance by the speed:
[tex]\[ \text{Time in hours} = \frac{300 \text{ km}}{80 \text{ km/h}} = 3.75 \text{ hours} \][/tex]
3. Separate the time into whole hours and additional minutes:
- The whole number part, 3, represents the whole hours.
- To find the minutes, take the decimal part (0.75 hours) and convert it to minutes by multiplying it by 60, since there are 60 minutes in an hour:
[tex]\[ 0.75 \times 60 = 45 \text{ minutes} \][/tex]
Thus, Tim's journey took 3 hours and 45 minutes.
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Here are the steps to solve the problem:
1. Identify the values given in the problem:
- Distance: 300 kilometers
- Speed: 80 km/h
2. Calculate the total time in hours:
- Using the formula above, divide the distance by the speed:
[tex]\[ \text{Time in hours} = \frac{300 \text{ km}}{80 \text{ km/h}} = 3.75 \text{ hours} \][/tex]
3. Separate the time into whole hours and additional minutes:
- The whole number part, 3, represents the whole hours.
- To find the minutes, take the decimal part (0.75 hours) and convert it to minutes by multiplying it by 60, since there are 60 minutes in an hour:
[tex]\[ 0.75 \times 60 = 45 \text{ minutes} \][/tex]
Thus, Tim's journey took 3 hours and 45 minutes.
