document.write( "Question 165661: A high speed train travels 80 miles per hour between Paris and St. Cloud. A commuter train, traveling at 64 miles per hour, takes two hours longer for the same trip. How far apart are Paris and St. Cloud?\r
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document.write( "My sister (8th grader) needs help with this problem and I (12th grader) can not seem to figure it out. The problem is not from a textbook. Thank you in advance for any help you provide. \n" );
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Algebra.Com's Answer #122120 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A high speed train travels 80 miles per hour between Paris and St. Cloud. A commuter train, traveling at 64 miles per hour, takes two hours longer for the same trip. How far apart are Paris and St. Cloud? \n" ); document.write( "------------------ \n" ); document.write( "Draw the picture of the trains going in the same direction from P to SC. \n" ); document.write( "-------------------------- \n" ); document.write( "Fast train DATA: \n" ); document.write( "rate = 80 mph ; time = x hrs. ; distance = rt = 80x miles \n" ); document.write( "------------------------ \n" ); document.write( "Commuteer train DATA: \n" ); document.write( "rate = 64 mph ; time = x+2 hrs ; distance = rt = 64(x+2) \n" ); document.write( "-------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "distance = distance \n" ); document.write( "80x = 64(x+2) \n" ); document.write( "80x = 64x + 128 \n" ); document.write( "16x = 128 \n" ); document.write( "x = 8 hrs \n" ); document.write( "---------------- \n" ); document.write( "Distance from P to SC = 80x = 80*8 = 640 miles \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |