SOLUTION: A small plane was scheduled to fly from Atlanta to Washington D.C. The plane flies at a constant speed of 150 miles per hour. However, the flight was against a strong head wind o

Question 594557: A small plane was scheduled to fly from Atlanta to
Washington D.C. The plane flies at a constant speed of 150 miles per hour. However, the flight was against a strong head wind of 10 miles per hour. The threat of mechanical failure forced the plane to turn back and it returned to Atlanta with a tail wind of 10 miles per hour, land 1.5 hours after it had taken off.
a. How far had the plane traveled before turning back?
b. What was the planes average speed?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let the distance the plane traveled be x miles
speed of plane = 150 mph
forward speed against wind = 150-10 = 140 mph
Return speed with wind = 150+10 = 160 mph
Time forward + time return = 1.5 hours
x/140 + x/160 = 1.5
multiply by LCD
160x+140x = 1.5 * 160*140
300x= 33600
x=112 miles

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