document.write( "Question 964174: A train travels 80 mi in the same time that a light plane can travel 280 mi. If the speed of the plane is 100 mi/h faster than that of the train, find each of the rates. \n" ); document.write( "
Algebra.Com's Answer #589072 by josgarithmetic(39629)\"\" \"About 
You can put this solution on YOUR website!
______________rate_________time__________distance
\n" ); document.write( "train__________r____________t____________U
\n" ); document.write( "plane_________r+k___________t____________V\r
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\n" ); document.write( "\n" ); document.write( "UNKNOWNS: r, t
\n" ); document.write( "KNOWNS: k=100,U=80,V=280\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28rt=U%2C%28r%2Bk%29t=V%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"t=U%2Fr\"
\n" ); document.write( "-
\n" ); document.write( "\"rt%2Bkt=V\"
\n" ); document.write( "\"r%28U%2Fr%29%2Bk%28U%2Fr%29=V\"
\n" ); document.write( "\"U%2BkU%2Fr=V\"
\n" ); document.write( "\"kU%2Fr=V-U\"
\n" ); document.write( "\"1%2Fr=%28V-U%29%2F%28kU%29\"
\n" ); document.write( "Their reciprocals are then also equal:
\n" ); document.write( "\"highlight%28highlight%28r=%28kU%29%2F%28V-U%29%29%29\"
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