Multiple choice

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
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A Correct answer
AI explanation

Using the relation that the ratio of speeds is the square root of the inverse ratio of the times taken to complete the journey after meeting, we have v1 / v2 = sqrt(t2 / t1). Substituting the given values gives 60 / v2 = sqrt(20 / 45). This simplifies to 60 / v2 = 2/3, yielding v2 = 90. The speed of Car 2 is 90 km/hr.

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