Exam Question - A jet plane traveling 600 miles per hour
can make a trip to an Ilion High School reunion in 33 hours less time
than a train traveling at 50 miles per hour.
How long does the train trip take?
The answer and solution are as follows:

Let t = number of hours for train to travel the same distance as the plane
Let t - 33 = number of hours for plane to travel, the same distance as the train, to the reunion

rate x time = distance
plane: 600 x t-33 = 600(t-33)
train: 50 x t = 50t

600(t - 33) = 50t
600t - 19800 = 50t
-19800 = -550t
36 hours = t