Question 389482
We use the formula distance = rate * time. The only trick is using consistent units since 3 hours and 24 minutes is a mixture of hours and minutes.

Let's change that into an improper fraction using the fact that there are 60 minutes in an hour. 3 hours and 24 minutes is the same as 3 and 24/60 hours. 
So:

3 and 24/60 = 3*(60/60) and 24/60

180/60 + 24/60 = 204/60 hours

Now we can use the formula:

distance = 55 * 204/60

distance = 187 miles