SOLUTION: A 6-passenger plane cruises at 180 mph in calm air. If the plane files 7 miles with the wind in the same smount of time as it flies 5 miles against the wind, then what is the wind

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Question 159809: A 6-passenger plane cruises at 180 mph in calm air. If the plane files 7 miles with the wind in the same smount of time as it flies 5 miles against the wind, then what is the wind speed?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A 6-passenger plane cruises at 180 mph in calm air. If the plane files 7 miles
with the wind in the same amount of time as it flies 5 miles against the wind,
then what is the wind speed?
:
Let x = wind speed
then
(180+x) = speed with the wind
and
(180-x) = speed against
:
Write a time equation; time = dist%2Fspeed
;
With time = against time
7%2F%28%28180%2Bx%29%29 = 5%2F%28%28180-x%29%29
Cross multiply
5(180+x) = 7(180-x)
:
900 + 5x = 1260 - 7x
:
5x + 7x = 1260 - 900
:
12x = 360
x = 360%2F12
x = 30 mph is speed of the wind
:
:
Check solution, find the times at both speeds 210 mph and 150 mph:
7/210 = .033 hrs
5/150 = .033 hrs