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As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and comes back to the starting point at 75 km/h. The average speed of the person throughout the journey (approximately) is:
63.46 km/h
58.74 km/h
68.15 km/h
49.58 km/h
Let's work this out step by step:
- Calculate the time taken for each part of the journey:
- First segment: 120 km at 80 km/h takes 12080 = 1.5 hours.
- Second segment: 100 km at 40 km/h takes 10040 = 2.5 hours.
- Return trip: Back over 220 km (120 km + 100 km) at 75 km/h takes 22075 ˜ 2.93 hours.
- Total distance traveled is 120 km + 100 km + 220 km = 440 km.
- Total time is 1.5 hours + 2.5 hours + 2.93 hours = 6.93 hours.
- Average speed is the total distance divided by total time: 4406.93 ˜ 63.46 km/h.
- Therefore, the correct average speed is approximately 63.46 km/h.
- Option 1: 63.46 km/h is the correct choice.
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