Question

A train travels 540km at an average speed of 30km/h. On the return journey the average speed is doubled to 60km/h. The average speed of the entire journey is?
We can use the formula:

Average speed = Total distance / Total time

Let's first calculate the total time taken for the entire journey.

Time taken for the first part of the journey = Distance / Speed = 540 / 30 = 18 hours

Time taken for the return journey = Distance / Speed = 540 / 60 = 9 hours

Total time taken for the entire journey = 18 + 9 = 27 hours

Now, let's calculate the total distance covered in the entire journey.

Total distance = Distance in one direction + Distance in the opposite direction

Total distance = 540 + 540 = 1080 km

Using the formula,

Average speed = Total distance / Total time

Average speed = 1080 / 27 = 40 km/h

Therefore, the average speed of the entire journey is 40 km/h.

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