Correct option is B
Given:
Speeds of four cars are 2u, 3u, 4u, and xu.
Time taken by them to cover the same distance is xt, 4t, 3t, and 2t respectively.
Where x, u, t are real numbers.
Concept Used:
Distance = Speed × Time
Solution:
Since the distance covered by all cars is the same:
Distance1= Distance2= Distance3= Distance4
Let d be the distance, then:
d = Speed1× Time1
=> d = 2u × xt
=> d = 2uxt
d = Speed2× Time2
=> d = 3u × 4t
=> d = 12ut
d = Speed3× Time3
=> d = 4u × 3t
=> d = 12ut
d = Speed4× Time4
=> d = xu × 2t
=> d = 2xut
Equating the distances:
2uxt = 12ut
=> 2ux = 12u
=> x = 12 / 2
=> x = 6
Hence, the correct answer is option b.
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