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10. A car moves with a speed of 30 km/h–1 for half an hour, 25 km/h–1 for one hour and 40 km/h–1 for two hours. Calculate the average speed of the car.

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Given Information: Speed of the car: First half hour: 30 km/h Second hour: 25 km/h Third hour: 40 km/h Step 1: Calculate the total distance traveled Distance covered in the first half hour: 30 km/h×0.5 h=15 km30km/h×0.5h=15km Distance covered in the second hour:...
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Given Information:

  • Speed of the car:
    • First half hour: 30 km/h
    • Second hour: 25 km/h
    • Third hour: 40 km/h

Step 1: Calculate the total distance traveled

  • Distance covered in the first half hour: 30 km/h×0.5 h=15 km30km/h×0.5h=15km
  • Distance covered in the second hour: 25 km/h×1 h=25 km25km/h×1h=25km
  • Distance covered in the third hour: 40 km/h×2 h=80 km40km/h×2h=80km

Total distance = 15 km+25 km+80 km=120 km15km+25km+80km=120km

Step 2: Calculate the total time taken

Total time taken = 0.5 h+1 h+2 h=3.5 h0.5h+1h+2h=3.5h

Step 3: Calculate the average speed

Average speed = Total distance / Total time taken

Average speed = 120 km/3.5 h=34.29 km/h120km/3.5h=34.29km/h

Step 4: Final Answer

Therefore, the average speed of the car is 34.29 km/h34.29km/h.

 
 
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