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Math Help - When Will Two Men Meet?

  1. #1
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    When Will Two Men Meet?

    Two men start from the same corner "A", going in different directions around a field 1 mile square. The man going along AB walks 4 miles an hour, and the other man who is traveling AD goes 3 miles an hour. Where and after how long will they meet?
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  2. #2
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    Hello, magentarita!


    Two men start from the same corner A,
    . . going in different directions around a field 1 mile square.
    The man going along AB walks 4 mph, and the other man going along AD goes 3 mph.
    Where and after how long will they meet?

    One man walks at 4 mph, the other at 3 mph.
    They have a combined speed of 7 mph.

    How long will it take them to walk a total of 4 miles?
    . . It will take them: . \boxed{\frac{4}{7}} of an hour.

    The first man walks: . 4\times \tfrac{4}{7} \:=\:\tfrac{16}{7} \:=\:2\tfrac{2}{7} miles.

    The second man walks: . 3 \times \tfrac{4}{7} \:=\:\tfrac{12}{7} \:=\:1 \tfrac{5}{7} miles.

    They will meet at point P.
    Code:
               1
        A * → → → → * B
          ↓         ↓
          ↓         ↓
        1 ↓         ↓ 1
          ↓         ↓
          ↓         ↓
        D * → → * ← * C
                P
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  3. #3
    MHF Contributor
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    wow....

    Quote Originally Posted by Soroban View Post
    Hello, magentarita!



    One man walks at 4 mph, the other at 3 mph.
    They have a combined speed of 7 mph.

    How long will it take them to walk a total of 4 miles?
    . . It will take them: . \boxed{\frac{4}{7}} of an hour.

    The first man walks: . 4\times \tfrac{4}{7} \:=\:\tfrac{16}{7} \:=\:2\tfrac{2}{7} miles.

    The second man walks: . 3 \times \tfrac{4}{7} \:=\:\tfrac{12}{7} \:=\:1 \tfrac{5}{7} miles.

    They will meet at point P.
    Code:
               1
        A * → → → → * B
          ↓         ↓
          ↓         ↓
        1 ↓         ↓ 1
          ↓         ↓
          ↓         ↓
        D * → → * ← * C
                P
    I just love your replies and pictures. Great job!
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