In a 100 meter race, Allen and Bruce reached the finish line in 12 seconds and 15 seconds, respectively. When Allen finished the race, how far was Bruce from the finish line?

Assume that they each move at a constant rate.

Guest Jul 6, 2020

#1**+2 **

**In a 100 meter race, Allen and Bruce reached the finish line in 12 seconds and 15 seconds, respectively. When Allen finished the race, how far was Bruce from the finish line? Assume that they each move at a constant rate.**

\(v_{\text{Bruce}} = \dfrac{100\ m}{15\ s} \)

\(\begin{array}{|rcll|} \hline s_{\text{Bruce}} &=& \dfrac{100\ m}{15\ s} \times (15\ s -12\ s) \\\\ s_{\text{Bruce}} &=& \dfrac{100\ m}{15\ s} \times (3\ s) \\\\ \mathbf{s_{\text{Bruce}}} &=& \mathbf{20\ \text{meter}} \\ \hline \end{array}\)

Bruce was \(\mathbf{20\ \text{meter}}\) from the finish line.

heureka Jul 6, 2020