SOLUTION: For spring break, a group of students flew to Cancun. From Mexico City, the airplane took 2 hr to fly 600 mi against a head wind. The return trip with the wind took 1 2/3 hr. Fin

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Question 875014: For spring break, a group of students
flew to Cancun. From Mexico City, the airplane took 2 hr
to fly 600 mi against a head wind. The return trip with the wind took 1 2/3 hr. Find the speed of the plane in still air.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For spring break, a group of students
flew to Cancun. From Mexico City, the airplane took 2 hr
to fly 600 mi against a head wind. The return trip with the wind took 1 2/3 hr. Find the speed of the plane in still air.
***
let x=speed of plane in still air
let c=speed of wind
(x+c) speed of plane with the wind
(x-c) speed of plane against the wind
travel time=distance/speed
..
1 2/3 hr=5/3 hr
600%2F%28x-c%29=2
600%2F%28x%2Bc%29=5%2F3
..
2x-2c=600
5x+5c=1800
..
10x-10c=3000
10x+10c=3600
add
20x=6600
x=330
speed of plane in still air=330 mph