(Cayley 2023, Part B, Question 17, CEMC - UWaterloo)

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?
$(A)$ $\frac{4}{5}$
$(B)$ $\frac{5}{2}$
$(C)$ $\frac{4}{3}$
$(D)$ $\frac{6}{5}$
$(E)$ $\frac{3}{2}$

Answer Submission Note(s)
Your answer should be a single capital letter, e.g. 'A'.