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A car travels the first half of a journey at a speed of 80 km/h and the next half of the journey at 100 km/h. What is the average
speed of the car? [Give your answer correct to 2 places of decimal.]
92.29 km/h
88.89 km/h
82.28 km/h
45.41 km/h
- To find the average speed, we must consider the total distance and total time taken for the journey.
- Let the total journey distance be 2D, with D being the distance for each half.
- The first half at 80 km/h takes time T1 = D/80.
- The second half at 100 km/h takes time T2 = D/100.
- Total time, T = T1 + T2 = D/80 + D/100.
- Simplifying, T = 180D/8000 = 9D/400.
- Average speed = Total distance (2D) / Total time (9D/400) = 800/9 km/h ˜ 88.89 km/h.
- Option 2: 88.89 km/h is the correct answer.
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