A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing each other, Ram and Rahim reach their destinations in one minute and four minutes, respectively. If they start at the same time, then the ratio of Ram's speed to Rahim's speed is
Explanation:
Let the time taken for them to meet after starting from opposite ends be t mins.
Also, let speeds of Ram and Rahim be a and b respectively.
Distance AM = a × t = b × 4 …(1)
Distance BM = b × t = a × 1 …(2)
(1) × (2)
⇒ t2 = 4
⇒ t = 2
From (1) we get,
a × 2 = b × 4
⇒ a : b = 4 : 2 = 2 : 1
Hence, option (d).
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