Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Certainly! Let's break this down step-by-step for each part of the question:
### Part a:
Question: A car drives 195 miles in 3 hours and 15 minutes. What is the average speed of the car?
1. Convert time to hours:
- We have 3 hours and 15 minutes.
- Since 15 minutes is \( \frac{15}{60} \) hours, we convert it to hours:
[tex]\[ \text{Time in hours} = 3 + \frac{15}{60} = 3 + 0.25 = 3.25 \, \text{hours} \][/tex]
2. Use the formula for average speed:
- Average speed is given by the distance divided by time:
[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} = \frac{195 \, \text{miles}}{3.25 \, \text{hours}} \][/tex]
3. Calculate the average speed:
- The average speed is:
[tex]\[ \frac{195}{3.25} = 60 \, \text{miles per hour} \][/tex]
- Therefore, the average speed of the car is 60 miles per hour.
### Part b:
Question: A car drives at a speed of 90 km/h for 2 hours and 20 minutes. How far does the car drive?
1. Convert time to hours:
- We have 2 hours and 20 minutes.
- Since 20 minutes is \( \frac{20}{60} \) hours, we convert it to hours:
[tex]\[ \text{Time in hours} = 2 + \frac{20}{60} = 2 + \frac{1}{3} = 2 + 0.333 \approx 2.333 \, \text{hours} \][/tex]
2. Use the formula for distance:
- Distance is given by the speed multiplied by time:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} = 90 \, \text{km/h} \times 2.333 \, \text{hours} \][/tex]
3. Calculate the distance:
- The distance is:
[tex]\[ 90 \times 2.333 = 210 \, \text{km} \][/tex]
- Therefore, the car drives 210 kilometers.
### Part c:
Question: A bus drives 66 km at an average speed of 24 km/h. How long does the journey take?
1. Use the formula for time:
- Time is given by the distance divided by speed:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{66 \, \text{km}}{24 \, \text{km/h}} \][/tex]
2. Calculate the time:
- The time is:
[tex]\[ \frac{66}{24} = 2.75 \, \text{hours} \][/tex]
3. Convert to hours and minutes:
- \( 2.75 \) hours is equal to \( 2 \) hours and \( 0.75 \times 60 \) minutes:
[tex]\[ 0.75 \times 60 = 45 \, \text{minutes} \][/tex]
- Therefore, the journey takes 2 hours and 45 minutes.
Summarizing:
- a) The average speed of the car is 60 miles per hour.
- b) The car drives 210 kilometers.
- c) The bus journey takes 2 hours and 45 minutes.
### Part a:
Question: A car drives 195 miles in 3 hours and 15 minutes. What is the average speed of the car?
1. Convert time to hours:
- We have 3 hours and 15 minutes.
- Since 15 minutes is \( \frac{15}{60} \) hours, we convert it to hours:
[tex]\[ \text{Time in hours} = 3 + \frac{15}{60} = 3 + 0.25 = 3.25 \, \text{hours} \][/tex]
2. Use the formula for average speed:
- Average speed is given by the distance divided by time:
[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} = \frac{195 \, \text{miles}}{3.25 \, \text{hours}} \][/tex]
3. Calculate the average speed:
- The average speed is:
[tex]\[ \frac{195}{3.25} = 60 \, \text{miles per hour} \][/tex]
- Therefore, the average speed of the car is 60 miles per hour.
### Part b:
Question: A car drives at a speed of 90 km/h for 2 hours and 20 minutes. How far does the car drive?
1. Convert time to hours:
- We have 2 hours and 20 minutes.
- Since 20 minutes is \( \frac{20}{60} \) hours, we convert it to hours:
[tex]\[ \text{Time in hours} = 2 + \frac{20}{60} = 2 + \frac{1}{3} = 2 + 0.333 \approx 2.333 \, \text{hours} \][/tex]
2. Use the formula for distance:
- Distance is given by the speed multiplied by time:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} = 90 \, \text{km/h} \times 2.333 \, \text{hours} \][/tex]
3. Calculate the distance:
- The distance is:
[tex]\[ 90 \times 2.333 = 210 \, \text{km} \][/tex]
- Therefore, the car drives 210 kilometers.
### Part c:
Question: A bus drives 66 km at an average speed of 24 km/h. How long does the journey take?
1. Use the formula for time:
- Time is given by the distance divided by speed:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{66 \, \text{km}}{24 \, \text{km/h}} \][/tex]
2. Calculate the time:
- The time is:
[tex]\[ \frac{66}{24} = 2.75 \, \text{hours} \][/tex]
3. Convert to hours and minutes:
- \( 2.75 \) hours is equal to \( 2 \) hours and \( 0.75 \times 60 \) minutes:
[tex]\[ 0.75 \times 60 = 45 \, \text{minutes} \][/tex]
- Therefore, the journey takes 2 hours and 45 minutes.
Summarizing:
- a) The average speed of the car is 60 miles per hour.
- b) The car drives 210 kilometers.
- c) The bus journey takes 2 hours and 45 minutes.
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
