Question

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

Answer 1

It would take 4 hours Dan to catch up with Paula.

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
`40+40t`

During the same t hour Dan covers a distance of
`50t`

We need to find how long will it take Dan to catch up with Paula.

`40+40t=50t`

`40=10t`

`t=4`

Hence, it would take 4 hours Dan to catch up with Paula.