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Math Help - Answer clarification: another race problem.

  1. #1
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    Answer clarification: another race problem.

    A can run 1 km in 4 minutes 51 seconds and B in 5 minutes.
    How many meters start can A give B in a Km race, so that the race may end in a dead heat?


    My answer:

    There is a difference of 9 seconds between A and B.
    A runs 30.8 meters in 9 sec so A has to give B a start of 30.8 meters.

    But the answer says 30 meters. Can any one get 30 meters. Appreciate your help.
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  2. #2
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    Re: Answer clarification: another race problem.

    Hello, hisajesh!

    I had to baby-talk my way through it . . .


    A can run 1 km in 4 minutes 51 seconds and B in 5 minutes.
    How many meters start can A give B in a 1 km race, so that the race may end in a dead heat?

    Answer: 30 meters.

    A runs 1000 m in 291 seconds.

    B runs 1000 m in 300 seconds.
    His speed is: . \tfrac{1000}{300} \,=\,\tfrac{10}{3}\text{ m/s.}
    In 291 seconds, B runs only: . \tfrac{10}{3}\times 291 \,=\,970\text{ m.}

    Therefore, B should get a 30-meter headstart.
    Thanks from MarkFL and hisajesh
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  3. #3
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    Re: Answer clarification: another race problem.

    Just wondering why my style of solving gives an extra .8 meters.
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