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Question 447 of 949

A car travels 150 kilometers to the east in 2 hours. What is the average speed of the car during this trip?

  • 60 km/h
  • 75 km/h
  • 100 km/h
  • 120 km/h

Correct Answer: B

Explanation
To determine the average speed of the car during its trip, we can use the formula for average speed, which is defined as the total distance traveled divided by the total time taken. ### Step-by-Step Explanation: 1. **Identify the Total Distance**: The car travels a total distance of 150 kilometers. 2. **Identify the Total Time**: The time taken for this journey is 2 hours. 3. **Use the Average Speed Formula**: The formula for average speed (v) is given by: \[ v = \frac{\text{Total Distance}}{\text{Total Time}} \] 4. **Substitute the Values**: Plugging in the values we have: \[ v = \frac{150 \text{ km}}{2 \text{ hours}} \] 5. **Perform the Calculation**: Now, we perform the division: \[ v = 75 \text{ km/h} \] ### Conclusion: The average speed of the car during this trip is **75 km/h**. Therefore, the correct option is **B**. ### Explanation of Other Options: - **Option A: 60 km/h**: This option is incorrect because if the car were traveling at 60 km/h for 2 hours, it would cover only: \[ 60 \text{ km/h} \times 2 \text{ hours} = 120 \text{ km} \] which is less than the actual distance of 150 km. - **Option C: 100 km/h**: This option is also incorrect. If the car traveled at 100 km/h for 2 hours, it would cover: \[ 100 \text{ km/h} \times 2 \text{ hours} = 200 \text{ km} \] which exceeds the actual distance of 150 km. - **Option D: 120 km/h**: This option is incorrect as well. At 120 km/h for 2 hours, the distance covered would be: \[ 120 \text{ km/h} \times 2 \text{ hours} = 240 \text{ km} \] which is again more than the actual distance of 150 km. ### Common Pitfalls: - **Misunderstanding Average Speed**: Some students may confuse average speed with instantaneous speed, which can vary during the trip. - **Incorrect Unit Conversion**: Ensure that the units for distance and time are consistent (e.g., kilometers and hours). - **Calculation Errors**: Double-check arithmetic to avoid simple mistakes in division. ### Revision Summary: - Average speed is calculated as total distance divided by total time. - For this problem, the average speed is 75 km/h. - Always ensure units are consistent when performing calculations. - Be cautious of common pitfalls like confusing average speed with instantaneous speed.
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