Question

it takes 1 hour longer to fly to st paul at 200 mi/h than it does to return at 250 mi/h. How far away is st.paul​

Answer 1

1000 miles

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:

`250t=200(t+1)\\250t=200t+200`

Now, we solve for t first:

`250t=200t+200\\250t-200t=200\\50t=200\\t=(200)/(50)\\t=4`

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