SOLUTION: A train travels 180 miles in the same time that a car travels 120 miles. The speed of the train is 20 miles per hour faster than the speed of the car. Find the speed of the train a

Question 174351: A train travels 180 miles in the same time that a car travels 120 miles. The speed of the train is 20 miles per hour faster than the speed of the car. Find the speed of the train and the speed of the car. Please solve step by step.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A train travels 180 miles in the same time that a car travels 120 miles. The speed of the train is 20 miles per hour faster than the speed of the car. Find the speed of the train and the speed of the car. Please solve step by step.
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Train DATA:
distance = 180 miles ; rate = x+20 mph ; time = d/r = 180/(x+20) hrs.
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Car DATA:
distance = 120 miles ; rate = x mph ; time = d/r = 120/x hrs
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EQUATION:
time = time
180/(x+20) = 120/x
Divide both sides by 60 to get:
3/(x+20) = 2/x
3x = 2(x+20)
x = 40 mph (speed of the car)
x+20 = 60 mph (speed of the train)
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Cheers,
Stan H.
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