Answer:
It would take 4 hours Dan to catch up with Paula.
Step-by-step explanation:
Consider the provided information.
It is given that Paula leaves home driving 40 miles per hour.
That means the Paula has a one-hour head start.
It means when Dan leaves home Paula was 40 miles ahead of Dan.
Let t is the hour when Paula drive another 40t miles.
Therefore, the total distance she covers is [tex]40+40t[/tex]
During the same t hour Dan covers a distance of [tex]50t[/tex]
We need to find how long will it take Dan to catch up with Paula.
[tex]40+40t=50t[/tex]
[tex]40=10t[/tex]
[tex]t=4[/tex]
Hence, it would take 4 hours Dan to catch up with Paula.