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A bus goes to Mumbai from Delhi at the speed of 60 km/h for 60% of the journey, and covers the remaining part of its journey
at the speed of 70 km/h. What is the average speed of the bus (in km/h) during the entire journey under consideration?
67
64
66
65
- A bus travels from Delhi to Mumbai at different speeds for different portions of its journey.
- For 60% of the journey, the bus travels at 60 km/h.
- For the remaining 40% of the journey, the bus travels at 70 km/h.
- The average speed is calculated as the total distance divided by the total time.
- Let the total distance be 100 km for ease of calculation.
- First part of journey: 60 km at 60 km/h takes 1 hour.
- Second part of journey: 40 km at 70 km/h takes 40/70 hours, approximately 0.57 hours.
- Total time: 1 + 0.57 = 1.57 hours.
- Average speed: Total distance / Total time = 100 / 1.57 ˜ 63.69 km/h.
- Therefore, the closest option is Option 4: 65 km/h.
The correct answer is Option 4: 65.
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