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Posted by **jaime** on Sunday, October 28, 2012 at 11:32pm.

- algebra -
**jaime**, Monday, October 29, 2012 at 12:11amtraveling 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?

- algebra -
**Reiny**, Monday, October 29, 2012 at 8:47amPlease 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

- algebra -
**your mama**, Thursday, January 24, 2013 at 12:21pmblack people eat chicken

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