document.write( "Question 1120004: Traffic reduces Jim’s usual speed by 10mph, which lengthened his 200mph trip by 1 hour. Find his average speed. \n" ); document.write( "
Algebra.Com's Answer #735648 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Traffic reduces Jim’s usual speed by 10mph, which lengthened his 200mph trip by 1 hour. Find his average speed. \n" ); document.write( "-------------- \n" ); document.write( "t = usual travel time \n" ); document.write( "--- \n" ); document.write( "d = r*t = (r-10)*(t+1) = 200 \n" ); document.write( "r = 200/t \n" ); document.write( "(200/t - 10)(t+1) = 200 \n" ); document.write( "200 + 200/t - 10t - 10 = 200 \n" ); document.write( "-10t - 10 + 200/t = 0 \n" ); document.write( "10t^2 + 10t - 200 = 0 \n" ); document.write( "t^2 + t - 20 = 0 \n" ); document.write( "(t+5)*(t-4) = 0 \n" ); document.write( "t = 4 hours \n" ); document.write( "r = 200/4 = 50 mi/hr \n" ); document.write( " |