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After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line. How far does the bird travel from the beginning (including the distance traveled to the first encounter)? Answer in units of km

Respuesta :

Answer:

The appropriate answer will be "8.378 km".

Explanation:

The subsequent trip device runner hits B by repeating the bird. Then the time taken by that of the runner around P to hit B would be:

⇒  [tex]P=\frac{1.2556}{7.3}[/tex]

        [tex]=0.172 \ hr[/tex]

Although in this time bird has always been perpetually flying.  

Distance covered by bird even before runner approach from P to B will indeed be:

=  [tex]29.2\times 0.172[/tex]

=  [tex]5.0224[/tex]

Apart from the first encounter, the overall distance traveled by bird would be:

=  [tex]5.0224+3.3556[/tex]

=  [tex]8.378 \ km[/tex]

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