SOLUTION: An airplane travels 6030km against the wind in 30 hours and 6750 with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wi

Question 311966: An airplane travels 6030km against the wind in 30 hours and 6750 with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the speed of plane in still air be xmph
speed of wind = y
..
against wind speed will be x-y.
Time traveled = 30 hour
distance = 6030 miles
so 30(x-y) = 6030
..
with wind speed will be x+y
time taken = 30 hours
distance = 6750 miles
30(x+y)=6750
..
30x-30y=6030
30x+30y=6750
ADD
..
60x = 12780
x= 12780/60
x= 213 mph the speed of plane in still air
plug the value of x in any equation
x+y= 225
213+y=225
y=12 mph the speed of wind
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