Respuesta :
As per linear equation, both train will meet after 1575 miles from the station.
What is a linear equation?
"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."
Let, after 'x' miles from the station both train will meet.
The 1st train has a speed of 175 mph.
Therefore, time taken by 1st train to reach 'x' miles is
[tex]= \frac{x}{175}[/tex] hours
The 2nd train has a speed of 225 mph.
Therefore, time taken by 2nd train to reach 'x' miles is
[tex]= \frac{x}{225}[/tex] hours
Given, [tex]\frac{x}{225} + 2 = \frac{x}{175}[/tex]
⇒ [tex]\frac{x}{175}-\frac{x}{225} = 2[/tex]
⇒ [tex]\frac{9x - 7x}{1575} = 2[/tex]
⇒ [tex]\frac{2x}{1575} = 2[/tex]
⇒ [tex]x = \frac{2(1575)}{2}[/tex]
⇒ [tex]x = 1575[/tex]
Learn more about a linear equation here: https://brainly.com/question/14538751
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