# CAT 2020 Quant Question [Slot 2] with Solution 18

Question

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

1. 2
2. $\sqrt 2$
3. $2\sqrt 2$
4. $\frac{1}{2}$
Option: 1
Solution:

Required ratio of speeds = Square root of inverse ratio of times taken after crossing each other. $= \sqrt 4 :\sqrt 1$ i.e., 2: 1

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