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KCC's quiz AQQ274 about 2 sportsmen running and walking

Two  sportsmen A and B have exactly the same running speed and the same walking speed.

One day they started the same trip to the same place.

Sportsman-A walked for half of the distance and ran for the rest, while

Sportsman-B walked for half the time and ran for the other half of time.

Question: Which sportsman reached the end of the trip first? How do you justify it?

Good luck and try to be among the firsts!

P.S. Pass those quizzes among your colleagues and friends; we all need such small brainstorming time to time!

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  • Assuming Running speed > Walking speed

    Sportsman B can start running earlier than A.

    A has to spend more than half his time to get to half distance, then can start running, spending less than half time running to get to the endpoint.

    B covers less distance in the first part of his trip, but can start running in the second half of the time, covering more distance in that second half, arriving before A

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  • Assuming Running speed > Walking speed

    Sportsman B can start running earlier than A.

    A has to spend more than half his time to get to half distance, then can start running, spending less than half time running to get to the endpoint.

    B covers less distance in the first part of his trip, but can start running in the second half of the time, covering more distance in that second half, arriving before A

Children