Paula leaves home driving 40 miles per hour. One hour later, Dan leaves home, driving in the same direction at a speed of 50 miles per hour.a. Write an equation to represent the problemb. Using your equation in (a), how long will it take Dan to catch up with Paula

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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.