Answer:
1000 miles
Step-by-step explanation:
We will use the distance equation to find the answer to this problem.
D = RT
Where
D is distance
R is rate
T is time
At 250 miles per hour, suppose it takes t hours to go to st. paul. Thus, we can write:
D = 250t
Now, at 200 mi per hour, it takes 1 hour longer, so the time is "t + 1", so we can write:
D = 200(t+1)
We can equate both and see:
[tex]250t=200(t+1)\\250t=200t+200[/tex]
Now, we solve for t first:
[tex]250t=200t+200\\250t-200t=200\\50t=200\\t=\frac{200}{50}\\t=4[/tex]
We want the distance of St. Paul, so we can use any equation. lets use the 1st equation:
D = 250t
we know t = 4
so
D = 250 * 4 = 1000 miles
Distance to St. Paul is 1000 miles
