SOLUTION: A plane whose air speed is 150 mi/h flew from Abbot to Blair in 2 H with a tail wind. On the return trip against the same wind, the plane was still 60 mi from Abbot after two hours

Question 132733This question is from textbook
: A plane whose air speed is 150 mi/h flew from Abbot to Blair in 2 H with a tail wind. On the return trip against the same wind, the plane was still 60 mi from Abbot after two hours. Find the wind speed and the distance between Abbot and Blair. This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A plane whose air speed is 150 mi/h flew from Abbot to Blair in 2 H with a tail wind. On the return trip against the same wind, the plane was still 60 mi from Abbot after two hours. Find the wind speed and the distance between Abbot and Blair.
Let x = wind speed
Then
(150+x) = ground speed with the wind
and
(15-2x = ground speed against the wind
:
Write a distance equation: Dist = time * speed
:
Dist with = dist against
2(150+x) = 2(150-x) + 60
300 + 2x = 300 - 2x + 60
Subtract 300 from both sides, add 2x to both sides, you have simple equation:
2x + 2x = 60
4x = 60
x = 15 mph is the speed of the wind
:
Find the distance, substitute 15 for x in the "with" equation
2(150+15) = 330
:
Check solution using the "against" equation
2(150-15) + 60 = 330 mi also
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