SOLUTION: A small plane flying into the wind takes 3 hours 20 minutes to complete flight of 960 km, flying with the wind, the same plane takes 2 hours and 30 minutes to make the same trip.

Question 940058: A small plane flying into the wind takes 3 hours 20 minutes to complete flight of 960 km, flying with the wind, the same plane takes 2 hours and 30 minutes to make the same trip. Shag is the speed of the plane? What is the speed of the wind?

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A small plane flying into the wind takes 3 hours 20 minutes to complete flight of 960 km, flying with the wind, the same plane takes 2 hours and 30 minutes to make the same trip. Shag is the speed of the plane? What is the speed of the wind?
***
let x=speed of plane with no wind
let c=speed of wind
x+c=speed of plane with wind
x-c=speed of plane against wind
travel time*speed=distance
..
3 hrs 20 min=3 1/3 hr=10/3 hr
2 hrs 30 min=2 1/2 hr=5/2 hr
..
10/3*(x-c)=960
5/2*(x+c)=960
..
10x-10c=2880
5x+5c=1920
..
10x-10c=2880
10x+10c=3840
add:
20x=6720
x=336
subtract:
-20c=-960
c=48
speed of plane with no wind=336 km/hr
speed of wind=48 km/hr
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