2023 Cayley Problem 17

Megan and Hana raced their remote control cars for 100 m. The two cars started at the same time. The average speed of Megan's car was \frac{5}{4} m/s. Hana's car finished 5 seconds before Megan's car. What was the average speed of Hana's car?

\textbf{(A)}\ \frac{4}{5} \text{ m/s}\quad \textbf{(B)}\ \frac{5}{2} \text{ m/s}\quad \textbf{(C)}\ \frac{4}{3} \text{ m/s}\quad \textbf{(D)}\ \frac{6}{5} \text{ m/s}\quad \textbf{(E)}\ \frac{3}{2} \text{ m/s}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.