# SOLUTION: Need to find the equations for x in this word problem. Thanks! Jim made a 450 mile trip in his car at a certain speed. If he ha d gone 10 mph faster, he could have made the tr

Algebra ->  Algebra  -> Equations -> SOLUTION: Need to find the equations for x in this word problem. Thanks! Jim made a 450 mile trip in his car at a certain speed. If he ha d gone 10 mph faster, he could have made the tr      Log On

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 Question 311465: Need to find the equations for x in this word problem. Thanks! Jim made a 450 mile trip in his car at a certain speed. If he ha d gone 10 mph faster, he could have made the trip in one hour less time. Find his speed. Answer by ankor@dixie-net.com(15667)   (Show Source): You can put this solution on YOUR website!Jim made a 450 mile trip in his car at a certain speed. If he had gone 10 mph faster, he could have made the trip in one hour less time. Find his speed. : Let s = that "certain speed" then (s+10) = the faster speed : Write a time equation; time = dist/speed : Actual time - faster time = 1 hr - = 1 multiply by s(s+10), results 450(s+10) - 450s = s(s+10) : 450s + 4500 - 450s = s^2 + 10s Arrange as quadratic equation on the right 0 = s^2 + 10s - 4500 Use the quadratic formula to find s In this problem x=s, a=1, b=10 c=-4500 : : Two solutions, but we just want positive solution s = s = 62.27 mph his actual speed : : Check solution, find the time at each speed 450/62.27 = 7.2266 hrs 450/72.27 = 6.2266 hrs -------------------------- difference: 1 hrs