Multiple choice

A bus travels at a speed of $50km/h$ to go from its origin to its destination at a distance of $300km$ and travels at a speed of $60km/h$ to return to the origin. What is the average speed of the bus?

  1. $54.55km/h$
  2. $55km/h$
  3. $55.55km/h$
  4. $54km/h$
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A Correct answer
Explanation

Average speed = Total distance / Total time. Total distance = 300 + 300 = 600 km. Time 1 = 300/50 = 6 hours. Time 2 = 300/60 = 5 hours. Average speed = 600 / 11 = 54.5454... km/h.

AI explanation

The average speed for the entire journey is calculated using the harmonic mean formula for equal distances, which is 2 multiplied by speed one multiplied by speed two, divided by their sum. Substituting the values gives (2 x 50 x 60) / (50 + 60). The numerator becomes 6000, and the denominator is 110. Dividing 6000 by 110 results in an average speed of 54.55 km/h.

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