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A car driver while chasing a bike drives his car at a speed of 27.78 m/s. Both the vehicles are moving at constant velocity and the car had started the chase when it was a distance of 60 km from the bike and it took complete 1 hour to catch the bike. What was the speed of bike?

A car driver while chasing a bike drives his car at a speed of 27.78 m/s. Both the vehicles are moving at constant velocity and the car had started the chase when it was a distance of 60 km from the bike and it took complete 1 hour to catch the bike. What was the speed of bike? Correct Answer 40 kmph

Speed of car = 27.78 mps = 27.78 × 18/5 = 100 kmph

Let speed of bike be x kmph.

Now relative speed of car while chasing = (100 - x) kmph

Distance covered = 60 km

Time taken = 1 hour

∴ Relative speed = (Distance covered)/(Time taken) = 60 kmph = (100-x)

∴ x = 40 kmph

The speed of bike was 40 kmph.

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