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) About Me  (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) About Me  (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