The speeds of four cars are 2u, 3u, 4u and xu and the time taken by them to cover the same distance is xt, 4t, 3t and 2t respectively, where x, u, t are real numbers. What is the value of x?
- A. 8
- B. 6 ✓
- C. 5
- D. 2
Correct Answer: B. 6
Explanation
Since distance is constant, \text{Speed} \times \text{Time} is equal for all cars. Thus, 3u \times 4t = 12ut and xu \times 2t = 2xut. Equating them gives 2x = 12, so x = 6.
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