document.write( "Question 202676: Tom took a trip of 1,020 miles. He traveled by train at 55mph and the same number of hours by plane at 285mph. How many hours did the trip take?\r
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document.write( "I tried T=d/r 1020/55=18.545 1020/285=5.18 18.545+5.18=23.73 \n" );
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Algebra.Com's Answer #152860 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Tom took a trip of 1,020 miles. He traveled by train at 55mph and the same number of hours by plane at 285mph. How many hours did the trip take? \n" ); document.write( "-------------------------- \n" ); document.write( "Train DATA: \n" ); document.write( "distance = x miles ; rate = 55 mph ; time = x/55 hrs \n" ); document.write( "---------------------------------- \n" ); document.write( "Plane DATA: \n" ); document.write( "distance = 1020-x miles ; rate = 285 mph ; time = (1020-x)/285 hrs \n" ); document.write( "------------------------------------ \n" ); document.write( "Equation: \n" ); document.write( "train time = plane time \n" ); document.write( "x/55 = (1020-x)/285 \n" ); document.write( "Cross-multiply to get: \n" ); document.write( "285x = 55(1020-x) \n" ); document.write( "285x = 55*1020 - 55x \n" ); document.write( "340x = 55*1020 \n" ); document.write( "x = 165 miles \n" ); document.write( "---- \n" ); document.write( "train time = 165/55 = 3 hrs \n" ); document.write( "plane time = (1020-165)/285 = 3 hrs \n" ); document.write( "------------------------------------------ \n" ); document.write( "Total time = 6 hrs. \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |