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Question

# Use the following information. The table shows regulation distances between hurdles in women's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.$\begin{matrix} \text{Event} & \text{Distance of Race} & \text{Distance from Start to First Hurdle} & \text{Distance Between Hurdles} & \text{Distance from Last Hurdle to Finish}\\ \text{Women's} & \text{100 m} & \text{13.00 m} & \text{8.50 m} & \square\\ \text{Men's} & \text{110 m} & \text{13.72 m} & \text{9.14 m} & \square\\ \end{matrix}$Find the distance from the last hurdle to the finish line for the women's race.

Solution

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Figure out the distance of all of the hurdles, which we will call d, by adding the distance from start to first hurdle (given), which we will call x, to the distance between the hurdles, which we will call y, multiplied by 9, because if there are 10 hurdles, there are 9 spaces between them.

$d=x+9\times(y)$

$d=13m+9\times8.5m$

$d=13m+76.5m$

$d=89.5m$

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