SOLUTION: On this word problem, i guess i need to turn this into a quadratic expression and solve, but i only thought that you solved word problems from linear equations. i have no idea how

Question 144570: On this word problem, i guess i need to turn this into a quadratic expression and solve, but i only thought that you solved word problems from linear equations. i have no idea how this is even done. i would try it on my own if i knew where to begin. If someone can get me started i will glady finish it so i can learn. Thank you.
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 jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the distance-rate-time formula

Plug in

Solve for t

Now if "he gone 10mph faster, the trip would have taken 1 hour less", this would make the equation:

Plug in

Foil

Multiply every term by the LCD "r"

Subtract 200r from both sides

Combine like terms

Factor the right side

Now set each factor equal to zero:
or

or Now solve for r in each case

Since you cannot travel at -50 mph, this means that our only answer is

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