document.write( "Question 901177: Imogene's car traveled 210 mi averaging a certain speer. If the car had gone 5mph faster, the trip would have taken 1 hour less. Find the average speed. \n" ); document.write( "
Algebra.Com's Answer #546510 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Imogene's car traveled 210 mi averaging a certain speer. If the car had gone 5mph faster, the trip would have taken 1 hour less. Find the average speed. \n" ); document.write( "------------- \n" ); document.write( "Actual DATA: \n" ); document.write( "distance = 210 miles ; time = x hrs ; rate = d/t = 210/x mph \n" ); document.write( "----------------- \n" ); document.write( "Modified DATA: \n" ); document.write( "distance = 210 miles ; time = x-1 hrs ; rate = d/t = 210/(x-1) mph \n" ); document.write( "----------------- \n" ); document.write( "Equation: \n" ); document.write( "210/(x-1) - 210/x = 5 mph \n" ); document.write( "------- \n" ); document.write( "210x - 210(x-1) = 5x(x-1) \n" ); document.write( "-------- \n" ); document.write( "210 = 5x^2 - 5x \n" ); document.write( "------ \n" ); document.write( "42 = x^2 - x \n" ); document.write( "---- \n" ); document.write( "x^2 - x - 42 = 0 \n" ); document.write( "---- \n" ); document.write( "Factor:: \n" ); document.write( "(x-7)(x+6) = 0 \n" ); document.write( "--- \n" ); document.write( "Positive solution:: \n" ); document.write( "Ans:: x = 7 hours \n" ); document.write( "------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------------- \n" ); document.write( " \n" ); document.write( " |