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Two motorcycles are separated by a distance of 80 kms and move toward each other with a velocity of 40 kmph. A drone captures this motion and travels from motorcycle X to motorcycle Y and back to X and so on until both motorcycles collide. Suppose the drone flies at a constant speed of 100 kmph. Calculate the distance travelled by drone at the moment both the motorcycles collide.⚡a80 kmb100 kmc120 kmd95 km

Question

Two motorcycles are separated by a distance of 80 kms and move toward each other with a velocity of 40 kmph. A drone captures this motion and travels from motorcycle X to motorcycle Y and back to X and so on until both motorcycles collide. Suppose the drone flies at a constant speed of 100 kmph. Calculate the distance travelled by drone at the moment both the motorcycles collide.⚡a80 kmb100 kmc120 kmd95 km

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Solution

Step 1: Determine the time it takes for the motorcycles to collide.

The motorcycles are moving towards each other at a combined speed of 40 kmph + 40 kmph = 80 kmph. They are 80 km apart, so it will take them 80 km / 80 kmph = 1 hour to collide.

Step 2: Calculate the distance travelled by the drone.

The drone is flying at a constant speed of 100 kmph. In 1 hour, it will travel 100 kmph * 1 hour = 100 km.

So, the drone will travel 100 km by the time the motorcycles collide. The correct answer is (b) 100 km.

This problem has been solved

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