# Create equations to represent a relationship between quantities. Define appropriate quantities for cdots descriptive modeling. Two trains leave a stat

Create equations to represent a relationship between quantities.
Define appropriate quantities for $\cdots$ descriptive modeling.
Two trains leave a station heading in opposite directions. The first train travels at two-thirds the rate of the second train. If the trains are 360 miles apart after three hours, then at what rate (in mph) was each train traveling?
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We given:
Distance

het spped of second train $=xmph$
speed of first train $=\frac{2x}{3}mph$ when move in opposite direction
Relative speed $=x+\frac{2x}{3}$
Distance

$⇒x=72mph$
Speed of first train $=\frac{2}{3}x$
$=\frac{2}{3}×72$
$=78mph$
Dpeed of second train $=x$

Jeffrey Jordon