document.write( "Question 439527: An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. \n" ); document.write( "
Algebra.Com's Answer #303743 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. \n" ); document.write( "----- \n" ); document.write( "Local Train DATA: \n" ); document.write( "distance = 50 miles ; rate = r mph ; time = d/r = 50/r hrs. \n" ); document.write( "--- \n" ); document.write( "Express Train DATA: \n" ); document.write( "distance = 50 miles ; rate = 2r mph ; time = d/r = 25/r hrs \n" ); document.write( "------- \n" ); document.write( "Equation: \n" ); document.write( "time - time = 1 hr \n" ); document.write( "50/r - 25/r = 1 \n" ); document.write( "Multiply thru by r to get: \n" ); document.write( "25 = r \n" ); document.write( "---- \n" ); document.write( "Rate of the local train = 25 mph \n" ); document.write( "Rate of the express train = 50 mph \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " |