2024 · Q2
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?
Elementary MathematicsTime, Speed and Distance
- A8
- B6
- C5
- D2
Explanation
All four cars cover the same distance D. From the third car D = 4u × 3t = 12ut, and from the first car D = 2u × xt = 2xut. Equating gives 2x = 12, so x = 6, option (b). The second car checks out as well: 3u × 4t = 12ut.