SOLUTION: A train and a car leave a station at the same time. The train travels due north and the car travels due west. When thy are 100 miles apart, the train has traveled 20 miles further

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Question 107118This question is from textbook Begining Algebra
: A train and a car leave a station at the same time. The train travels due north and the car travels due west. When thy are 100 miles apart, the train has traveled 20 miles further that the car traveled. Find the distance each has traveled. (right triangle) This question is from textbook Begining Algebra

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let a=x+20, b=x, c=100
a^2+b^2=c^2
(x+20)^2+x^2=100^2
x^2+40x+400+x^2-100^2=0
2x^2+40x+400-10000=0
2x^2+40x-9600=0
2(x^2+20x-4800)=0
2(x-60)(x+80)=0
x=-80 is not an answer. (negative)
x=60 mi (car)
x+20=80 mi (train)
Always check:
60^2+80^2=100^2
3600+6400=10000 true
Ed