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
Algebra.Com
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) (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
RELATED QUESTIONS
A train and a car leave a station at the same time, the train traveling due north and the (answered by mananth)
a passenger train and a freight train leave the same station at the same time. passenger... (answered by fcabanski)
Two trains leave the railway station at the same time.The first travels due west and... (answered by ankor@dixie-net.com)
A freight train leaves Kansas and travels due west. A passenger train departs at exactly (answered by Paul,venugopalramana)
A train leaves a station and travels west at 54mph. Four hours later, a second train... (answered by longjonsilver)
a train travels due north at 65 km/h. Six hours later, another train leaves the same... (answered by AnlytcPhil)
Two trains leave the same city at the same time. One heads due west and one due north.... (answered by richwmiller)
Two trains leave bluebird station at the same time traveling due west on parallel tracks. (answered by ikleyn)
Train A and Train B are 100 km apart. They leave at the same time traveling on the same... (answered by TimothyLamb)