SOLUTION: 13.) Train a is going 60 miles per hour Train is going 80 miles per hour train a passes the station at 11:20 pm and train b passes the station at 11:35 pm, at what time will tra

Algebra ->  Graphs -> SOLUTION: 13.) Train a is going 60 miles per hour Train is going 80 miles per hour train a passes the station at 11:20 pm and train b passes the station at 11:35 pm, at what time will tra      Log On


   



Question 515559: 13.) Train a is going 60 miles per hour
Train is going 80 miles per hour
train a passes the station at 11:20 pm and train b passes the station at 11:35 pm, at what time will train a catch up to train b?

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
d = r*t is the basic distance equation
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Train A
d = 60mph * t hr
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Train B
d = 80mph * (t-1/4) hr : train B is 1/4 hr behind Train A
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When Train B catches up to Train A, they will have traveled the same distance.
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60t = 80(t - 1/4)
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60t = 80t - 20
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-20t = -20
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t = 1 hr
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So, in 1 hr Train A will have traveled 60 miles.
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Train B will have traveled for 3/4 hr at 80 mph, which is 60 miles.
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Re-read the question to determine what the required answer is.
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Answer: Train B will overtake Train A at 12:20 a.m.
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Done.