SOLUTION: 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?

Algebra ->  Equations -> SOLUTION: 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?      Log On


   

Question 158668This question is from textbook Prentice hall mathmatics
: 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? This question is from textbook Prentice hall mathmatics

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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?
:
Find the time first:
:
Let t = time required to fly to St.P
then
(t-1) = time to return
:
The distance to and from are equal; write a distance equation: Dist = speed*time
:
To dist = return dist
:
200t = 250(t-1)
200t = 250t - 250
+250 = 250t - 200t
t = 250%2F50
t = 5 hrs to make the trip
and
5 - 1 = 4 hrs to make the return trip
;
Find the dist:
200 * 5 = 1000 mi
or
250 * 4 = 1000 mis