document.write( "Question 786176: After driving 126mi, Syd found that the drive would have taken 1 hr. less time by increasing the speed by 8 mph. What was the actual speed? \n" ); document.write( "
Algebra.Com's Answer #477831 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! After driving 126mi, Syd found that the drive would have taken 1 hr. less time by increasing the speed by 8 mph. What was the actual speed? \n" ); document.write( "------------- \n" ); document.write( "Actual DATA: \n" ); document.write( "distance = 126 miles ; rate = x mph ; time = 126/x hours \n" ); document.write( "--------------- \n" ); document.write( "\"If\" DATA: \n" ); document.write( "distance = 126 miles ; rate = x+8 mph ; time = 126/(x+8) hours \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "126/x - 126/(x+8) = 1 hr \n" ); document.write( "------- \n" ); document.write( "126(x+8) - 126x = x(x+8) \n" ); document.write( "------ \n" ); document.write( "x^2 + 8x - 8*126 = 0 \n" ); document.write( "x = 36 mph (actual speed) \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |