A car travels on a highway, and its odometer records a reading of 180 km at 8:00 am and 240 km at 9:30 am. Based on this information, which statement best describes the car's average speed during this interval?
The car's average speed is 40 km per hour as calculated from the odometer readings and time interval.
To determine the average speed of the car between 8:00 am and 9:30 am, we need to calculate the total distance covered and the total time taken. The car's odometer readings provide these values:
- Odometer Readings:
- At 8:00 am: \(180\, \text{km}\)
- At 9:30 am: \(240\, \text{km}\)
- Distance Covered: \(\text{Distance} = 240\, \text{km} - 180\, \text{km} = 60\, \text{km}\)
- Time Interval:
- The time from 8:00 am to 9:30 am is 1 hour and 30 minutes, which is \(\frac{3}{2}\, \text{hours} = 1.5\, \text{hours}\)
- Average Speed Calculation: \(\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{60\, \text{km}}{1.5\, \text{hours}} = 40\, \text{km/h}\)
Thus, the average speed of the car during the interval from 8:00 am to 9:30 am is 40 km/h.
Conclusion: The statement "The car's average speed is 40 km per hour as calculated from the odometer readings and time interval" is correct. This accurately reflects the computed average speed based on the given odometer readings and time interval.
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