Question 857190
Flying with the wind, a pilot travels 600 miles twn 2 cities in 4 hours. The return trip into the wind takes 5 hours. The speed of the wind remains constant during the trip. Find the average speed of the plane with no wind and the speed of the wind.
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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
..
4(x+c)=600
5(x-c)=600
..
4x+4c=600
5x-5c=600
..
20x+20c=3000 (mult. by 5)
20x-20c=2400 (mult. by 4)
add
40x=5400
x=135
4c=600-4x=60
c=15
..
speed of plane with no wind=135 mph
speed of wind=15 mph