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An object travels 10 km at a speed of 100 m/s and another 10 km at 50 m/s. The average speed over the whole distance is :-

Question

An object travels 10 km at a speed of 100 m/s and another 10 km at 50 m/s. The average speed over the whole distance is :-

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Solution

To calculate the average speed over the whole distance, we first need to find out the total time taken for the journey.

  1. First, convert the distances from km to m. 10 km = 10,000 m.

  2. Calculate the time taken for each part of the journey. Time = Distance / Speed.

    For the first part of the journey: Time = 10,000 m / 100 m/s = 100 seconds.

    For the second part of the journey: Time = 10,000 m / 50 m/s = 200 seconds.

  3. Add the times together to get the total time. Total time = 100 s + 200 s = 300 seconds.

  4. The total distance travelled is 10 km + 10 km = 20 km = 20,000 m.

  5. Finally, calculate the average speed. Average speed = Total distance / Total time = 20,000 m / 300 s = 66.67 m/s.

So, the average speed over the whole distance is 66.67 m/s.

This problem has been solved

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