Algebra world problem involving speed and time

AI Thread Summary
The problem involves a jumbo jet flying 50 miles per hour faster than a super-prop plane, with a turbo-jet traveling 2000 miles in 3 hours less than the time it takes the super-prop to cover 2800 miles. To solve it, one must establish equations based on the relationships between speed, time, and distance for each plane. The key is to define unknowns for the speeds and times, then convert the problem statements into algebraic expressions. The discussion highlights confusion over the terminology, particularly whether the turbo-jet and jumbo jet refer to the same aircraft. Ultimately, the solution requires setting up and solving a system of equations, potentially leading to a quadratic equation.
Niaboc67
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Homework Statement


"A jumbo flies 50 miles per hour faster than a super-prop plane. If a turbo-jet goes 2000 miles in 3 hours less time than it take the super-prop to go 2800 miles, find the speed of each plane."

Homework Equations

The Attempt at a Solution


I am sure this is a snap. I just forgot the method of how this is solved. I think it turns into a quadratic equation. Please explain the process that leads up to the quadratic equation if that is the way it's solved.
 
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From where did this turbo-jet come from? Is it the jumbo jet?
 
Assuming the turbo and the jumbo are the same thing, the method is write down equations relating speed, time and distance for both planes, as well as any equations taken from the information given in the problem and then solve them using algebra.
 
I understand it is a speed, time and distance type problem. However, I do not know how the problem should be written out in order to solve.
 
Niaboc67 said:
I understand it is a speed, time and distance type problem. However, I do not know how the problem should be written out in order to solve.
Create unknowns for each of the values mentioned, then turn each statement into an algebraic expression relating them. Post your working as far as you get.
 
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