Question 1152267

A passenger train leaves a train depot 2 h after a freight train leaves the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 3 h.
<pre>Let the speed of the passenger train be S
Then the speed of the freight train = S - 20
We then get the following DISTANCE equation: 3S = (2 + 3)(S - 20)_____3S = 5S - 100
3S - 5S = - 100
S, or {{{highlight_green(matrix(1,7, Speed, of, passenger, train, "=", 50, mph))}}}
Speed of freight train: {{{highlight_green(matrix(1,4, 50 - 20, "=", 30, mph))}}}