SOLUTION: It takes Jim 6 hours longer to fly the 1125 miles from Montreal, Canada to Birmingham, Alabama, in his Piper Cub than it does in his jet. If his average speed in the jet is 3 times

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: It takes Jim 6 hours longer to fly the 1125 miles from Montreal, Canada to Birmingham, Alabama, in his Piper Cub than it does in his jet. If his average speed in the jet is 3 times      Log On


   



Question 40914: It takes Jim 6 hours longer to fly the 1125 miles from Montreal, Canada to Birmingham, Alabama, in his Piper Cub than it does in his jet. If his average speed in the jet is 3 times that in the Piper Cub, What is the average speed of the Piper Cub? __mph
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Jet's speed = 3x
Piper's speed = x
EQUATION:
1125%2Fx-1125%2F3x=6
1125(3x-x)=6[(x)(3x)]
1125%282x%29=6%283x%5E2%29
2250x=18x%5E2
18x%5E2-2250x
Factor:
x(x-125)
x=0 or x=125
Hence, the speed of the Piper club is 125mph.
Paul.