SOLUTION: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chap

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Question 190059: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)
*A twin engine plane can fly 800 miles in the same amount of time that it takes a single engine plane to fly 600 miles. The rate of the twin engine plane is 50 mph faster than that of the single engine plane. Find the rate of each plane.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let r be the rate of the slower plane and then r + 50 must be the rate of the faster plane.

Since



we can also say:



So for the slower plane's trip:



and for the faster plane's trip:



Since both trips were completed in the same amount of time,



Cross-multiply:



Now solve for r to get the speed of the slower plane and add 50 to that to get the speed of the faster one.

John