SOLUTION: One high-speed jet travels 100 miles per hour faster than another. When one plane travels 2000 miles, the other travels 1500 miles. Find the speed of each plane. Could you ple

Algebra ->  Rational-functions -> SOLUTION: One high-speed jet travels 100 miles per hour faster than another. When one plane travels 2000 miles, the other travels 1500 miles. Find the speed of each plane. Could you ple      Log On


   

Question 636592: One high-speed jet travels 100 miles per hour faster than another. When one plane travels 2000 miles, the other travels 1500 miles. Find the speed of each plane.

Could you please help? Thanks so much.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let’s x be the speed of one plane in miles per hour, and
y+ the speed of the other in miles per hour
given:
x+=+y+%2B+100
x+%2F+2000+=+y+%2F+1500.....substitute x
%28y+%2B+100%29+%2F+2000+=+y+%2F+1500....solve for y
y+%2F+2000+%2B+1+%2F+20+-+y+%2F+1500+=+0
-0.000167%2Ay+=+-0.05
y+=+%28-0.05%29%2F-0.000167
y+=+300+mph
x+=+300+%2B+100+=+400+mph+