SOLUTION: A freight train and an express train leave towns 390km apart, traveling toward one another. The freight train travels 30km per hr slower than the express train. They pass one anoth

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Question 269831: A freight train and an express train leave towns 390km apart, traveling toward one another. The freight train travels 30km per hr slower than the express train. They pass one another 3 hr later. What are their speeds?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This is an RTD problem. Here is a table based on the given information
trains . . . . . . . . .rate . . . . . . . . .time . . . . . . . . .distance
freight. . . . . . . . r - 30 . . . . . . . . .3 . . . . . . . . . . 3r - 90
express. . . . . . . .r . . . . . . . . . . . . 3 . . . . . . . . . . . 3r
totals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .390
Look at the last column, we get
3r+-+90+%2B+3r+=+390
simplify to get
6r+-+90+=+380
add 90 to get
6r+=+480
divide to get
express: r+=+80
freight: r-30+=+50