Algebra world problem involving speed and time

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Homework Help Overview

The problem involves a scenario with three types of aircraft: a jumbo jet, a super-prop plane, and a turbo-jet. The context centers around their speeds and the time taken to cover specific distances, with a focus on establishing relationships between these variables.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to formulate equations based on speed, time, and distance. There is uncertainty regarding the identification of the turbo-jet and its relationship to the other planes. Some participants express confusion about how to structure the problem algebraically.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and attempting to clarify the relationships between the aircraft. Some guidance has been offered regarding the formulation of equations, but no consensus has been reached on the approach to take.

Contextual Notes

There is ambiguity regarding the identity of the turbo-jet and its connection to the other planes mentioned. Participants are also grappling with how to express the problem mathematically, indicating a need for clearer definitions and relationships.

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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