Asked by Rachel
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?
Answers
Answered by
Reiny
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
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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.