Homework Help: College Algebra

Posted by Rachel on Tuesday, September 25, 2012 at 10:25pm.

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, Tuesday, September 25, 2012 at 11:08pm
speed of wind --- x mph
speed of plane --- 300 mph

speed against wind --- 300-x
speed with the wind --- 300+x

time for Atlanta to Dubuque = 900/(x+300)
coming back when time was the same --- 750/(300-x)

900/(300+x) = 750/(300-x)
270000 - 900x = 225000 + 750x
45000 = 1650x
x=300/11
x = 27.2727... mph

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