SOLUTION: It took a plane 2 hours to go from Dallas to NY with the head wind and 1.5 hours to get back with the tail wind. If the speed of the wind was 30 mph, how far apart are two cities?

Question 1057094: It took a plane 2 hours to go from Dallas to NY with the head wind and 1.5 hours to get back with the tail wind. If the speed of the wind was 30 mph, how far apart are two cities?

Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let a equal the airspeed of the plane in still air; and d be the distance between the two cities. Then:
d/a+30=1.5
d=1.5a+45
and
d/a-30=2
d=2a-60
So
2a-60=1.5a+45
.5a=105
a=210
d/210-30=2
d=360
The distance between the two cities is 360 miles. ☺☺☺☺
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