SOLUTION: A passenger train travels 100 mph faster than a car. In the time it takes the car to travel 140 miles, the train can travel 340 miles. Find the speed of each.
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Question 1024620: A passenger train travels 100 mph faster than a car. In the time it takes the car to travel 140 miles, the train can travel 340 miles. Find the speed of each. Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Call the rate of the car, r.
Then the rate of the train is r+100.
Since rt=d, we know time = distance over rate, or t = d/r.
And since the times are equal, we can write
Now cross-multiply and solve...
340r = 140(r+100)
340r = 140r + 14000
200r = 14000
r = 70 miles per hour
r+100 = 170 miles per hour
