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A rider is riding his bike along the sides of a square ground. He drives the bike with the speed of 10 km/h along one side, 15 km/h along another side, 18 km/h along the third side, and 20 km/h along the last side and reaches the starting point. What is the average speed of the bike along the sides of the ground?

A rider is riding his bike along the sides of a square ground. He drives the bike with the speed of 10 km/h along one side, 15 km/h along another side, 18 km/h along the third side, and 20 km/h along the last side and reaches the starting point. What is the average speed of the bike along the sides of the ground? Correct Answer 14.7 km/h

Given:
Speed along 1st side = 10 km/h

Speed along 2nd side = 15 km/h

Speed along 3rd side = 18 km/h

Speed along 4th side = 20 km/h

Formula used:

Speed = Distance/Time

Average speed = Total distance/Total time

Calculation:

Let the length of the side of the ground be 180 km (L.C.M of 10, 15, 18, 20).

Time along 1st side = 180/10 = 18 hr

Time along 2nd side = 180/15 = 12 hr

Time along 3rd side = 180/18 = 10 hr

Time along 4th side = 180/20 = 9 hr

Average speed = (180 × 4)/49 ≈ 14.7 km/h

∴ The average speed is 14.7 km/h.

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