# The helicopter could fly at 4 times the speed of wind. Thus,it could travel 600 miles downwind in 1 hour more than it took totravel 300 miles upwind. What was the speed of the helicopterin still air? Upwind equation: (A-W)T_U = D_U Downwind equation: (A+W)T_D=D_D

The helicopter could fly at 4 times the speed of wind. Thus,it could travel 600 miles downwind in 1 hour more than it took totravel 300 miles upwind. What was the speed of the helicopterin still air?
Upwind equation: $\left(A-W\right){T}_{U}={D}_{U}$
Downwindequation: $\left(A+W\right){T}_{D}={D}_{D}$
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abortargy
$\left(A-W\right){T}_{U}={D}_{U}$-----------------(1)
$\left(A+W\right){T}_{D}={D}_{D}$----------------(2)
here ${T}_{D}={T}_{U}+1$ &A=4W
by substituting & (1)/(2) we get ${T}_{U}=5hrs$
by substituting ${T}_{U}$ & A in (1) we get W=20miles/hr
A=4W=80miles/hr