Question

Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdleson the race track. The first hurdle is 12 meters from the start line and the lasthurdle is 15.5 meters from the finish line. Estimate how far the hurdles are fromone another.Estimate how far the hurdles are from one another. Explain your reasoning

Answer 1

7.5 meters

Explanation

Step 1

draw the situation

so, we can set an equation

let x represents the distance between hurdles,so

$12+7x+15.5=80\rightarrow equation$

Step 2

solve for x

$\begin{gathered} 12+7x+15.5=80\rightarrow equation \\ \text{add like terms} \\ 27.5+7x=80 \\ \text{subtract 27.5 in both sides} \\ 27.5+7x-27.5=80-27.5 \\ 7x=52.5 \\ x=\frac{52.5}{7} \\ x=7.5 \end{gathered}$

therefore, the distance between hurdles is

7.5 meters