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
\n" ); document.write( "\n" ); document.write( "I tried T=d/r 1020/55=18.545 1020/285=5.18 18.545+5.18=23.73
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Algebra.Com's Answer #152860 by stanbon(75887)\"\" \"About 
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?
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\n" ); document.write( "Train DATA:
\n" ); document.write( "distance = x miles ; rate = 55 mph ; time = x/55 hrs
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\n" ); document.write( "Plane DATA:
\n" ); document.write( "distance = 1020-x miles ; rate = 285 mph ; time = (1020-x)/285 hrs
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\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
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\n" ); document.write( "Total time = 6 hrs.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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