SOLUTION: A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. How soon did the second train overtake the first? If 50x represents the distance the

Question 192905: A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. How soon did the second train overtake the first?
If 50x represents the distance the slower train travels, then the faster train travels
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. How soon did the second train overtake the first?
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1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles
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2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles
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Equation:
distance = distance
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
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Cheers,
Stan H.
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