SOLUTION: 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.

Question 149897This question is from textbook
: 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. This question is from textbook

Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
x=speed
y=time

200/x=y
200/x+10=y-1

Plug in y in the second equation
(200/x+10)=(200/x)-1

Common denominator=

Subtract on the right

Eliminate the denominator.
Subtract 200x from both sides

Reorder the right side

Take out a ngeative one

Factor

Solve
x=-50
x=40

since speed can't be negative, x=40, so

40 mph
RELATED QUESTIONS
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)

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 shahid)

Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would... (answered by ankor@dixie-net.com)

Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would... (answered by vleith)

Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would... (answered by ankor@dixie-net.com)