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A person travels half of the distance at a speed of x km/h and the remaining half at 4x km/h. Find the value of x if the average speed is 36.8 km/h.

1. 21
2. 25
3. 24
4. 23

Correct answer: 23

Solution

If equal distances are covered at speeds x and 4x, the average speed is \(\frac{2\cdot x\cdot 4x}{x+4x}=\frac{8x}{5}\). Setting this equal to 36.8 gives x = 23. The correct option is 23.

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