SOLUTION: A plane flies against the wind from Center City to New City at a rate of 220mph. On the return trip, the plane flies with the wind at a rate of 250mph.The return trip took one hour

Algebra ->  Equations -> SOLUTION: A plane flies against the wind from Center City to New City at a rate of 220mph. On the return trip, the plane flies with the wind at a rate of 250mph.The return trip took one hour      Log On


   



Question 153046: A plane flies against the wind from Center City to New City at a rate of 220mph. On the return trip, the plane flies with the wind at a rate of 250mph.The return trip took one hour less time. How far apart are the two cities? (remember rt=d)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the time from Center to New, T.
1.220T=D
The return trip took 1 hour less, or T-1.
2.250%28T-1%29=D
Since they're both equal to D, they're equal to each other.
220T=250%28T-1%29
220T=250T-250%29
-30T=-250
T=8.33
Using eq. 1,
220%288.33%29=D
D=1833
It is 1833 miles from New City to Center City.