SOLUTION: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from t

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Question 124083: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A train leaves Danville Junction and travels north at a speed of 75km/hr.
Two hours later, an express train leaves on a parallel track and travels north at 125km/hr.
How far from the station will they meet?
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Regular train DATA:
Time = x hrs ; rate = 75 km/hr ; distance = r*t = 75x km
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Express train DATA:
Time = x-2 hrs ; rate = 125 km/hr ; distance = rt = 125(x-2) km
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EQUATION:
distance = distance
75x = 125(x-2)
75x = 125x-250
50x = 250
x = 5 hrs (time of the regular train)
75x = 375 km (distance the regular train traveled=distance express traveled)
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Cheers,
Stan H.