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17 August, 12:50

Each of a certain type of tire on a 4 wheel car lasts exactly 10,000 miles. How many spare tires of this same variety must carried so that a trip of 15,000 miles can just be completed.

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  1. 17 August, 15:57
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    3 spare tires are needed. This works if you rotate the tires every 5,000 miles.

    Tire A, B, C, D (and spare is E F G)

    first 5,000 miles you use tire A B C D

    second 5000 miles you use tire B C D E

    third 5000 miles you use A E F G

    Each tires is used no more than twice (10,000 miles).
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