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CAT 2020 Quant Question [Slot 1] with Solution 12

Question

A straight road connects points A and B. Car 1 travels from A to B and Car 2 travels from B to A, both leaving at the same time. After meeting each other, they take 45 minutes and 20 minutes, respectively, to complete their journeys. If Car 1 travels at the speed of 60 km/hr, then the speed of Car 2, in km/hr, is

1. 90
2. 100
3. 80
4. 70
Option: 1
Solution:

In this particular case, we know Ratio of speeds $= \sqrt {{\text{ Inverse ratio of times taken }}}$ ${C_1}:{C_2} = \sqrt {20:45}$ i.e., 2: 3

As the speed of Car ${C_1}$ is 60 kmph, the speed of Car ${C_2}$ is 90 kmph

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