SOLUTION: A plane whose air speed is 150 mph flew from abbott to Blair into hours with a tail Speed. on the return trip against the same wood, the plane was still 60 miles from Abbot after t
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Question 1001402: A plane whose air speed is 150 mph flew from abbott to Blair into hours with a tail Speed. on the return trip against the same wood, the plane was still 60 miles from Abbot after two hours. find the wind speed and the distance between abbot and Blair Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A plane whose air speed is 150 mph flew from Abbott to Blair in two hours with a tail Speed.
on the return trip against the same wind, the plane was still 60 miles from Abbot after two hours.
find the wind speed and the distance between abbot and Blair
:
let d = the one-way distance
let w = the speed of the wind
then
(150+w) = the speed with a tail wind
and
(150-w) = the speed against the wind
:
Write a time equation for each way; (time = dist/speed) = 2
d = 2(150+w)
d = 300 + 2w
and = 2
d - 60 = 2(150-w)
d - 60 = 300 - 2w
d = 300 + 60 - 2w
d = 360 - 2w
:
d=d, therefore we can write the equation
300 + 2w = 360 - 2w
2w + 2w = 360 - 300
4w = 60
w = 60/4
w = 15 mph is the speed of the wind
:
Find the distance using d = 300 + 2w
d = 300 + 2(15)
d = 330 mi is the distance
:
:
:
We can check the distance in the other equation
d = 360 - 2(15)
d = 330mi
