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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CAT 2020 Quant questions with Solutions