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A marathon runner runs at a steady 15 km/hr. When the runner is 7.5 km from the finish, a bird begins flying from the runner to the finish at 30 km/hr. When the bird reaches the finish line, it turns around and flies back to the runner, and then turns around again, repeating the back-andforth trips until the runner reaches the finish line. How many kilometers does the bird travel?

Respuesta :

okpalawalter8

Answer:

The value is [tex]D =  15 \  km [/tex]

Explanation:

From the question we are told that

   The  speed of the marathon runner is  [tex]v = 15 \ km /hr[/tex]

   The distance from the distance from the finish is  [tex]d =  7.5 \  km[/tex]

   The  speed of the bird is  [tex]v_b  =  30 \ km / hr[/tex]

  Generally the time taken for the runner to reach the finish is mathematically represented as

       [tex]t =  \frac{d}{v}[/tex]

       [tex]t =  \frac{7.5}{15}[/tex]

        [tex]t =  \frac{1}{2}[/tex]

So the distance covered by the bird is  

      [tex]D =  v_b  *  t[/tex]

      [tex]D =  30  *  \frac{1}{2}[/tex]

         [tex]D =  15 \  km [/tex]

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