Posted by Rachel on .
A jet flies from Atlanta to Dubuque a distance of 900 miles. After traveling the same amount of time on the return flight,the pilot mentioned they still had 150 miles to go. The airspeed of the plane was 300 miles per hour. How fast was the wind blowing?

College Algebra 
Reiny,
speed of wind  x mph
speed of plane  300 mph
speed against wind  300x
speed with the wind  300+x
time for Atlanta to Dubuque = 900/(x+300)
coming back when time was the same  750/(300x)
900/(300+x) = 750/(300x)
270000  900x = 225000 + 750x
45000 = 1650x
x=300/11
x = 27.2727... mph