How long does it take an automobile traveling in the left laneof a highway at 65

Question

How long does it take an automobile traveling in the left laneof a highway at 65.0 km/h to overtake(become even with) another car that is traveling in the right laneat 25.0 km/h when the cars' frontbumpers are initially 110 mapart? (the answer is in s) How long does it take an automobile traveling in the left laneof a highway at 65.0 km/h to overtake(become even with) another car that is traveling in the right laneat 25.0 km/h when the cars' frontbumpers are initially 110 mapart? (the answer is in s)

Explanation / Answer

Given velocities V = 65 km / h

                           V ‘ = 25 km / h

Relative velocity v = V – V ‘ = 40 km / h

                               = 40 * ( 5/ 18) m / s

                               = 11.1111 m / s

Distance S = 110 m

So, required time t = S / v

                               = 9.9 s

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