SOLUTION: A turboprop plane flying with the wind flew 350 mi in 5 h. Flying against the wind, the plane required 7 h to travel the same distance. Find the rate of the wind and the rate of th

Question 933811: A turboprop plane flying with the wind flew 350 mi in 5 h. Flying against the wind, the plane required 7 h to travel the same distance. Find the rate of the wind and the rate of the plane in calm air
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A turboprop plane flying with the wind flew 350 mi in 5 h. Flying against the wind, the plane required 7 h to travel the same distance. Find the rate of the wind and the rate of the plane in calm air
***
let x=rate of plane in calm air
let c=rate of wind
(x+c)=rate of plane with wind
(x-c)=rate of plane against wind
travel time*speed=distance
5(x+c)=350
7(x-c)=350
..
5x+5c=350
7x-7c=350
..
35x+35c=2450(mult. by 7)
35x-35c=1750(mult. by 5)
add
70x=4200
x=60
5c=350-5x
5c=350-300=50
c=10
rate of plane in calm air=60mph
rate of wind=10mph
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