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There are 10 equally-spaced hurdles on a race track. The first hurdle is 13.72 meters from the start line. The final hurdle is 14.02 meters from the finish line. The race track is 110 meters long. How far are the hurdles from one another?

Respuesta :

sam4040

Answer:

[tex]9.14\ meters[/tex]

Step-by-step explanation:

[tex]Total\ length\ of\ race\ track=110\ meters\\\\The\ first\ hurdle\ is\ at\ 13.72\ meters\ from\ the\ start.\\\\Second\ is\ at\ 14.02\ meters\ from\ finish\ line.\\\\Distance\ between\ the\ first\ and\ last\ hurdles=110-13.72-14.02\\\\Distance\ between\ the\ first\ and\ last\ hurdles=82.26\ meters\\\\Within\ n\ hurdles\ there\ will\ be\ n-1\ equidistant\ spaces.\\\\Within\ 10\ hurdles\ there\ will\ be\ 10-1=9\ equidistant\ spaces.\\\\Distance\ between\ two\ hurdles=\frac{82.26}{9}=9.14\ meters[/tex]

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