SOLUTION: Train A leaves a station traveling at 60 miles per hour. Six hours later train B leaves the same station traveling in the same direction at 80 miles per hour. How long does it take

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Question 363841: Train A leaves a station traveling at 60 miles per hour. Six hours later train B leaves the same station traveling in the same direction at 80 miles per hour. How long does it take for train B to catch up to train A. Please Help Me!!
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
In 6 hours, train A is 360 miles away (6*60)
Train B gains on it at 20 mph (80 - 60)
360/20 = 18 hours

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Let x represent the amount of time Train B traveled.
Then (x+7hr) represents the amount of time train A traveled
distance = rate*time. distance the same for both Train and Train B
60mph*(x+7hr) = 80mph*x
solving for x
60mph*x+ 60mph*7 = 80mph*x
60mph*7hr = 80mph*x -60mph*x+
420mi = 20mph*x
21hrs = x
Takes Train B 21hrs to catch up with Train A
checking our answer
60mph*28hr = 80mph*21hr = 1680mi
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