Problema Solution
an express train and a freight train leave at the same time in two cities at 270 miles per hour apart towards each other. the rate of the freight train is 40mi/h and the rate of the express train is 50 mi/h. in how many hours will the train meet?
Answer provided by our tutors
Let
d = 270 mi the distance
v1 = 40 mi/h the rate or the average speed of the freight train
v2 = 50 mi/h the rate or the average speed of the express train
t = the time of the travel
Since average speed multiplied by the time equals the distance, and the trains are traveling towards each other we can write:
v1t + v2t = d
40t + 50t = 270
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click here to see the step by step solution for t
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t = 3 h
The trains will meet in 3 hours.