SOLUTION: Two airplanes are leaving O'Hare at the same time, one bound for New York and the other for California. The one heading to California has a tail wind and is thus going 25 MPH fast

Question 91063: Two airplanes are leaving O'Hare at the same time, one bound for New York and the other for California. The one heading to California has a tail wind and is thus going 25 MPH faster than the one headed for New York. If after one hour they are 575 miles apart, what are their speeds?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two airplanes are leaving O'Hare at the same time, one bound for New York and the other for California. The one heading to California has a tail wind and is thus going 25 MPH faster than the one headed for New York. If after one hour they are 575 miles apart, what are their speeds?
:
s = N.Y. plane ground speed
Then
(s + 25) = Cal plane ground speed
:
Dist = time * speed
:
Cal dist + N.Y. dist = 565 mi
1(s+25) + 1(s) = 575
s + 25 + s = 575
2s = 575 - 25
2s = 550
s = 550/2
s = 275 mph is the N.Y. plane's speed, then 300 mph = Cal plane speed
:
Check dist in 1 hr: 1(275) + 1(300) = 575 miles
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