SOLUTION: SOMEBODY PLS HELP ME! THIS IS DUE IN A FEW MINS AND I HAVENT BEEN ABLE TO SOLVE IT!!! Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would

Algebra ->  Rate-of-work-word-problems -> SOLUTION: SOMEBODY PLS HELP ME! THIS IS DUE IN A FEW MINS AND I HAVENT BEEN ABLE TO SOLVE IT!!! Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would       Log On


   

Question 27016: SOMEBODY PLS HELP ME! THIS IS DUE IN A FEW MINS AND I HAVENT BEEN ABLE TO SOLVE IT!!!

Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the
trip would have taken 1 hour less. Find the speed of his vehicle.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Equation:
200%2Fx-200%2F%28x-10%29=1
200[(x)-(x-10)=(x)(x-10)
200%2810%29=x%5E2-10x
2000=x%5E2-10x
x%5E2-10x-2000=0%2Cx
Factor (x+40) and (x-50)
Remove the negative.

Hence, the speed of the vechicle was 50mph.
Paul.