Word Problems Involving Quadratic Equations

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Homework Help Overview

The discussion revolves around a word problem involving quadratic equations related to the speed and travel time of a freight train over a distance of 200 km. The original poster seeks assistance in understanding how to approach similar problems.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to translate the word problem into mathematical expressions, specifically focusing on defining variables for speed and time. There are discussions on how to set up equations based on the problem's conditions.

Discussion Status

The conversation is actively exploring the translation of the problem into mathematical terms, with participants contributing different perspectives on how to formulate the equations needed to solve the problem. There is a collaborative atmosphere as participants build on each other's ideas.

Contextual Notes

The original poster has a set of 20 problems but is focusing on this particular one to gain insight for the others. There may be constraints related to homework guidelines that discourage providing complete solutions.

Equilibrium
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hey can you help me solve these, I've got 20 problems..and i only need is this
problem so that i have an idea of answering the others

An engineer can decrease by 2 hours the time it takes to travel 200km. If he increases the speed of the freight train by 5km per hour, what is the original speed of the train?
 
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Let S be the original speed of the train.

If he travels a distance of 200km in T hours, can you write down an expression for the speed S ?
 
Translate the word problem into mathematics. Let's call the original speed of the train v (km/h) and the time it takes t (hours).
So he travels 200 km in t hours at a speed v:

vt=200

If he increases v by 5 km/h, he can travel 200 km in t-2 hours. How would you tranlsate that into an equation?

Doh, Fermat beat me to it.
 
Great minds think alike :smile:
 

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