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A passenger train and freight train start from the same time and travel in opposite directions. The passenger train traveled 3 times as fast as the freight train. In 5 hours, they were 360 miles apart. Find the rate of each train.

Respuesta :

Given that the relative distance between 2 trains, d = 360 miles

Time, t is 5 hrs.

Let speed of freight train be v, then the speed of passenger train will be 3v.

For relative speed, the speed of trains will be added.

Hence,

[tex]\begin{gathered} 3v+v=\frac{360}{5} \\ v=\frac{360}{5\times4} \end{gathered}[/tex]

Thus, the speed of freight train is 18 miles/hour.

And the speed of passenger train is 3v = 54 miles/hour.

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