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A car covers three equal distances at speeds of 30 km/h, 45 km/h, and 90 km/h, respectively. What is the average speed of the car for the entire journey?

1. 50 km/h
2. 48 km/h
3. 60 km/h
4. 45 km/h

Correct answer: 45 km/h

Solution

When equal distances are covered at different speeds, average speed is total distance divided by total time. For speeds 30, 45, and 90 km/h, the average speed is $\frac{3}{\frac{1}{30}+\frac{1}{45}+\frac{1}{90}}=45$ km/h.

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