document.write( "Question 351889: A slow train travelling at 25 km/h leaves a station 1/2 h before another train travelling at 40 km/h. If the trains travel in the same direction on parallel routes, when does the faster train pass the slower train? What would x represent and what would y represent? \n" ); document.write( "
Algebra.Com's Answer #251427 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A slow train traveling at 25 km/h leaves a station 1/2 h before another train traveling at 40 km/h. If the trains travel in the same direction on parallel routes, when does the faster train pass the slower train? What would x represent and what would y represent? \n" ); document.write( "--------------- \n" ); document.write( "Faster train DATA: \n" ); document.write( "rate = 40 km/h ; time = x-1/2 hrs ; distance = 40(x-(1/2)) = 40x-20 km \n" ); document.write( "----- \n" ); document.write( "Slower train DATA: \n" ); document.write( "rate = 25 km/h ; time = x hrs ; distance = 25x km \n" ); document.write( "------------------ \n" ); document.write( "Equation: \n" ); document.write( "distance = distance \n" ); document.write( "40x-20 = 25x \n" ); document.write( "Subtract 25x from both sides. \n" ); document.write( "Add 20 to both sides. \n" ); document.write( "15x = 20 \n" ); document.write( "x = 4/3 hour = 80 minutes (time for the slower train) \n" ); document.write( "x-(1/2) = 4/3-(1/2) = (8-3)/6 = 5/6 = 50 minutes (time for the faster train) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " \n" ); document.write( " |