SOLUTION: With a certain tail wind an airplane reached its destination, 630 miles away, in 1½ hours. Flying back against the same wind, the plane took 15 minutes longer to make the trip. Fin
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Question 320481: With a certain tail wind an airplane reached its destination, 630 miles away, in 1½ hours. Flying back against the same wind, the plane took 15 minutes longer to make the trip. Find the wind speed and the plane's airspeed Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! With a certain tail wind an airplane reached its destination, 630 miles away, in 1½ hours.
Flying back against the same wind, the plane took 15 minutes longer to make the trip.
Find the wind speed and the plane's airspeed
:
Let s = plane's airspeed
Let w = wind-speed
:
From the given information: tailwind time = 1.5 hrs, against the wind = 1.75 hrs
:
write a distance equation for each trip; dist = time * speed
1.50(s + w) = 630
1.75(s - w) = 630
:
We can simplify here;
divide the 1st equation by 1.5
divide the 2nd equation by 1.75
results
s + w = 420
s - w = 360
---------------adding eliminates w, find s
2s = 780
s =
s = 390 mph plane airspeed
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Find the wind using: s + w = 420
390 + w = 420
w = 420 - 390
w = 30 mph is the wind
:
:
Check solutions in original return equation
1.75(390 - 30) =
1.75(360) = 630; confirms our solutions
