Posted by jaime on Sunday, October 28, 2012 at 11:32pm.
traveling fromchicago to kansas city is a 540 mile trip. A small plane, facing a headwind (going against the wind), took 9 hours to get to kansas city. on the return trip to chicago the plane had a tailwind ( going with the wind) and the trip took only 6 hours. What was the average plane speed and the average wind speed?
Please don't post a new question as a response to your own post. Often it would be overlooked since tutors think it has been answered.
1.
longer piece ---- x
shorter piece ----(2/3)x
x+ 2x/3 = 40
3x + 2x = 120
5x=120
x=24
long piece is 24 , short piece is 16
2. speed of plane in still air --- x mph
speed of wind ---- y mph
9(x-y) = 540 ---> x-y = 60
6(x+y) = 540 ---> x+y = 90
add them:
2x = 150
x = 75
speed of plane: 75 mph
speed of wind : 15 mph
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