SOLUTION: I NEED HELP I AM REALLY STUMPED ON THIS SOLUTION!!
Steve traveled 200 miles at a certain speed. Had he gone 10 mph faster, the trip would have taken one hour less. Find the sp
Algebra.Com
Question 149799: I NEED HELP I AM REALLY STUMPED ON THIS SOLUTION!!
Steve traveled 200 miles at a certain speed. Had he gone 10 mph faster, the trip would have taken one hour less. Find the speed of his vehicle.
I am having a tough time. Thank you in advance to anyone who can help me.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Let x = speed of vehicle
.
Time to travel 200 miles is
200/x
.
Time to travel 200 miles, if he went 10 mph faster:
200/(x+10)
.
From:"Had he gone 10 mph faster, the trip would have taken one hour less." we get:
200/x - 1 = 200/(x+10)
multiplying both sides by (x+10):
(x+10)(200/x - 1) = 200
multiplying both sides by x:
(x+10)(200 - x) = 200x
200x + 2000 -x^2 - 10x = 200x
2000 -x^2 - 10x = 0
x^2 + 10x - 2000 = 0
factoring:
(x-40)(x+50) = 0
x = {-50, 40}
since a negative doesn't make sense, the only solution is the positive one.
x = 40 mph
.
RELATED QUESTIONS
Steve traveled 200 miles at a certain speed. Had he gone 10 mph faster, the trip would... (answered by jorel1380)
Steve traveled 200 miles at a certain speed. Had he gone 10 mph faster, the trip would... (answered by stanbon,Alan3354)
Please help me translate into a quadratic equation and solve.
Steve traveled 200 miles (answered by ankor@dixie-net.com)
I know rate times time equals distance, but I'm still confused. Steve traveled 200 miles... (answered by Theo)
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would... (answered by Paul)
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would... (answered by venugopalramana,AnlytcPhil)
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would... (answered by stanbon)
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would... (answered by bucky)
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would... (answered by ptaylor)