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Question

A ship sails out to an island at the rate of 15 km/h and sails back to the starting point at 10 km/h. Find the average sailing speed for the whole journey.

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Solution

Let the distance from the starting point to the island be x km.
Speed of the ship sailing out to the island = 15 km/h
Speed of the ship sailing back to the starting point = 10 km/h
We know:
Time =Distance SpeedTime taken by the ship to travel from the starting point to the island =x15 hTime taken by the ship to travel from the island to the starting point=x10 hAverage speed=Total distance travelledTotal time taken=x+xx15+x10 =2x2x+3x30 =2x5x30 =605=12 km/h

Therefore, the average speed of the ship in the whole journey was 12 km/h.

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