Question 1158476
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The passenger train covers in 3 hours the same distance the freight train covers in 5 hours, so the ratio of the speeds is 5:3.<br>
Let the two speeds be 5x for the passenger train and 3x for the freight train (a standard step, given that the ratio is 5:3).<br>
The difference in their speeds is then 5x-3x=2x.<br>
But we know the difference in the speeds is 28 mph.  So<br>
2x = 28
x = 14<br>
The speed of the freight train is 3x = 42 mph; the speed of the passenger train is 5x = 70 mph.<br>