SOLUTION: Two trains leave the same city at the same time, one goin north and the other going east. The northbound train travels 20 mph faster than the eastbound one. If they are 300 miles a
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Question 416205: Two trains leave the same city at the same time, one goin north and the other going east. The northbound train travels 20 mph faster than the eastbound one. If they are 300 miles apart after 5 hours, what is the speed of each train?
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Solution: x mph the speed of train that travel east
x+20 mph the speed of the train that travel north.
5(x+20) the distance traveled north
5x the distance traveled east. Write the equation: [5(x+20)]^2+(5x)^2=300^2
Solve this equation:x^2+20x-1600=0
Answer: The Eastbound train travel approximately 31 mph and the Northbound train travel 51 mph.(Hint: use the Pythagorean theorem )
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