document.write( "Question 328438: The speed of train A is 8mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 270 miles. Find the speed of both trains. \r
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Algebra.Com's Answer #235411 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You need 2 equations:
\n" ); document.write( "\"d%5BA%5D+=+r%5BA%5D%2At%7BA%5D\"
\n" ); document.write( "\"230+=+%28r%5BB%5D+-+8%29%2At%5BA%5D\"
\n" ); document.write( "and
\n" ); document.write( "\"d%5BB%5D+=+r%5BB%5D%2At%5BB%5D\"
\n" ); document.write( "\"270+=+r%5BB%5D%2At%5BB%5D\"
\n" ); document.write( "You are given that \"t%5BA%5D+=+t%5BB%5D\", so
\n" ); document.write( "\"230%2F%28r%5BB%5D+-+8%29+=+270%2Fr%5BB%5D\"
\n" ); document.write( "Multiply both sides by \"r%5BB%5D%2A%28r%5BB%5D+-+8%29\"
\n" ); document.write( "\"230r%5BB%5D+=+270%2A%28r%5BB%5D+-+8%29\"
\n" ); document.write( "\"230r%5BB%5D+=+270r%5BB%5D+-+2160\"
\n" ); document.write( "\"40r%5BB%5D+=+2160\"
\n" ); document.write( "\"r%5BB%5D+=+54\"
\n" ); document.write( "and, since
\n" ); document.write( "\"r%5BA%5D+=+r%5BB%5D+-+8\"
\n" ); document.write( "\"r%5BA%5D+=+54+-+8\"
\n" ); document.write( "\"r%5BA%5D+=+46\"
\n" ); document.write( "The speed of train A is 46 mi/hr
\n" ); document.write( "The speed of train B is 54 mi/hr
\n" ); document.write( "check answers:
\n" ); document.write( "\"d%5BA%5D+=+r%5BA%5D%2At%5BA%5D\"
\n" ); document.write( "\"230+=+46%2At%5BA%5D\"
\n" ); document.write( "\"t%5BA%5D+=+230%2F46\"
\n" ); document.write( "\"t%5BA%5D+=+5\" hrs
\n" ); document.write( "and
\n" ); document.write( "\"d%5BB%5D+=+r%5BB%5D%2At%5BB%5D\"
\n" ); document.write( "\"270+=+54%2At%5BB%5D\"
\n" ); document.write( "\"t%5BB%5D+=+270%2F54\"
\n" ); document.write( "\"t%5BB%5D+=+5\" hrs
\n" ); document.write( "\"t%5BA%5D+=+t%5BB%5D\"
\n" ); document.write( "OK
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