Question 1152267
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The passenger train covers in 3 hours the same distance that the freight train covers in 5 hours.  The ratio of times for the same distance is 3:5, so the ratio of their speeds is 5:3.<br>
If x is the speed of the freight train, then the speed of the passenger train is x+20.  Since the ratio of the speeds is 5:3,<br>
{{{(x+20)/x = 5/3}}}
{{{5x = 3x+60}}}
{{{2x = 60}}}
{{{x = 30}}}<br>
The speed of the freight train is x=30mph; the speed of the passenger train is x+20=50mph.<br>