SOLUTION: A six passenger plane cruises at 180mph in calm air. If the plane flys 7 miles with the wind in the same amount of time as it flys 5 miles against the wind, what is the wind speed.

Question 225444: A six passenger plane cruises at 180mph in calm air. If the plane flys 7 miles with the wind in the same amount of time as it flys 5 miles against the wind, what is the wind speed.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
D=RT OR T=D/R
T=7/(180-W)
T=5/(180+W)
SET THE 2 TIME EQUATIONS EQUAL & SOLVE FOR THE WIND SPED.
7/(180-W)=5/(180+W)
5(180-W)=7(180+W)
900-5W=1,260+7W
-7W-5W=1,260-900
-12W=360
W=360/-12
W=-30 MPH IS THE WIND SPEED.
PROOF:
7/(180-(-30))=5(180/(180+(-30))
7/(180+30)=5(180-30)
7/210=5/150
5*210=7*150
1,050=1,050
RELATED QUESTIONS
A six-passenger plane cruises at 180mph in calm air. If the plane flies 7 miles with the (answered by stanbon)

A six-passenger plane cruises at 180MPH in calm air if the plane flies 7 miles with the... (answered by scott8148)

A plane cruises at 180mph in calm air. If the plane flies 7 miles with the wind in the... (answered by RAY100)

a six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with... (answered by Paul)

A six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the (answered by ptaylor)

A six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the (answered by solver91311,nyc_function)

A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with... (answered by Fombitz)

A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with... (answered by mananth)

A six-passenger plane cruises at 180 mph in calm air. If thr plane fies 7 miles with the... (answered by checkley71)