SOLUTION: A plane traveled 400 miles to Rome and back. The trip there was with the wind. It took 4 hours. The trip back was into the wind. The trip back took 8 hours. Find the speed of the p
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Question 644508: A plane traveled 400 miles to Rome and back. The trip there was with the wind. It took 4 hours. The trip back was into the wind. The trip back took 8 hours. Find the speed of the plane in still air and the speed of the wind.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let speed of plane in still air =
Let the wind speed =
given:
Equation with the wind
(1)
Equation against the wind
(2)
--------------------
Multiply both sides of (1)
by and
Add the equations
(1)
(2)
Plug this result back into (1) or (2)
(1)
(1)
(1)
(1)
The speed of the plane in still air is 75 mi/hr
The wind speed is 25 mi/hr
check:
(2)
(2)
(2)
OK
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