Q:

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​

Accepted Solution

A:
Answer:1000 milesStep-by-step explanation:We will use the distance equation to find the answer to this problem.D = RTWhereD is distanceR is rateT is timeAt 250 miles per hour, suppose it takes t hours to go to st. paul. Thus, we can write:D = 250tNow, 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 = 250twe know t = 4soD = 250 * 4 = 1000 milesDistance to St. Paul is 1000 miles