A train traveling 60 miles per hour leaves for a certain tow

A train traveling 60 miles per hour leaves for a certain town. Two hours later, a car traveling at 70 miles per hour leaves for the same town and arrives at the same time as the train. If both the train and the car traveled in a straight line, how far is the town from where they started?

Solution

Train DATA:
rate = 60 mph ; time = x hrs ; distance = 60x miles
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Car DATA:
rate = 70 mph ; time = x-2 hrs; distance = 70(x-2) miles
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Equation:
distance = distance
60x = 70(x-2)
60x = 70x - 140
10x = 140
x = 14 hrs
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Distance to the town: 60*x = 60*14 = 840 miles