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

• A. 90
• B. 100
• C. 80
• D. 70

Answer 1

Answer: (A)

90

Answer 2

The correct option is (A): $90$

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