SOLUTION: : An airplane flies 594 miles with a 30-mph tailwind and then flies back into the 30-mph wind. If the time for the round trip was four hours, find the speed of the airplane in calm
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Question 759611: : An airplane flies 594 miles with a 30-mph tailwind and then flies back into the 30-mph wind. If the time for the round trip was four hours, find the speed of the airplane in calm air.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
An airplane flies 594 miles with a 30-mph tailwind and then flies back into the 30-mph wind. If the time for the round trip was four hours, find the speed of the airplane in calm air.
let x=speed of airplane in calm air
x+30= speed of airplane with tail wind
x-30= speed of airplane with downwind
travel time=distance/speed
..
LCD:x(x-30)
4x^2-1308x+17820=0
x^2-327x+4455=0
solve for x by quadratic formula:
a=1, b=-327, c=4455
x≈14.24 (reject)
or
x≈312.76
speed of airplane in calm air≈312.76 mph
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