Question

from orlando to syracuse is 1053 miles. flying into headwinds on the way down. The trip takes 2.75 hrs. on the way back . the wind is still blowing at the same speed. the trip takes 1.75 hrs. so, what is the speed in the still air and how fast is the wind blowing

Answer 1

Explanation:

distance / rate = time s = plane speed w = wind speed

Flying with wind 1053 / ( s+ w) = 1.75

solve for s = 601.714 -w

Flying against wind 1053 / (s-w) = 2.75 sub in for s (above)

1053 / ( 601.714 - w -w ) = 2.75

solve for w = 109.27 mi/hr

sub this 'w' into one of the equations to solve for 's'

1053 / ( s + 109.273) = 1.75 shows s = 492.44 mi/hr