Answer:
[tex]9^{th},10^{th},11^{st},12^{th},13^{th}\: places[/tex]
Step-by-step explanation:
In other words, This problem asks us 5 addends (runners), one after another, whose sum is equal to 55. So let's call the runners
[tex]\left\{\begin{matrix}x&1^{st}runner&(x+1)\:2^{nd}\:runner&&(x+2)\: 3^{rd}runner \\ (x+3)4^{th}\:runner&(x+4)5^{th}runner&&& \end{matrix}\right\\.x+x+1+x+2+x+3+x+4=55\Rightarrow 5x+10=55\Rightarrow 5x=45\Rightarrow x=9\\9^{th},10^{th},11^{st},12^{th},13^{th}\: places[/tex]
