Upwind equation: $(A-W){T}_{U}={D}_{U}$

Downwindequation: $(A+W){T}_{D}={D}_{D}$

valtricotinevh
2022-07-31
Answered

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: $(A-W){T}_{U}={D}_{U}$

Downwindequation: $(A+W){T}_{D}={D}_{D}$

Upwind equation: $(A-W){T}_{U}={D}_{U}$

Downwindequation: $(A+W){T}_{D}={D}_{D}$

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abortargy

Answered 2022-08-01
Author has **19** answers

$(A-W){T}_{U}={D}_{U}$-----------------(1)

$(A+W){T}_{D}={D}_{D}$----------------(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

$(A+W){T}_{D}={D}_{D}$----------------(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

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