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A bus covers 30% of a journey at a speed of 24 km/h and the remaining distance at a speed of 36 km/h. What is the average speed of the bus for the entire journey?

1. 28.8 km/h
2. 29.4 km/h
3. 30 km/h
4. 31.3 km/h

Correct answer: 31.3 km/h

Solution

Let the total distance be 100 km. Then 30 km is covered at 24 km/h and 70 km at 36 km/h, so total time is \(30/24+70/36\) hours. Average speed is \(100\) divided by this time, which is about 31.3 km/h.

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