document.write( "Question 980030: a man covered a certain distance in 12 hours.half of the distance he covered by train at 75 km/ hr and the remaining distance he covered by car at 45 km/hr.how much distance did he covered. \n" ); document.write( "
Algebra.Com's Answer #601236 by ikleyn(52805)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "Let  x  be the unknown distance  (in kilometers).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then the man spent  \"x%2F%282%2A75%29\"  hours to cover half of the distance moving at the speed of  75 \"km%2Fh\". \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Next,  he spent  \"x%2F%282%2A45%29\"  hours to cover half of the distance moving at the speed of  45 \"km%2Fh\". \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The equation for the unknown distance  x  is\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2F%282%2A75%29\" + \"x%2F%282%2A45%29\" = 12.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve it step by step:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2F150\" + \"x%2F90\" = 12,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%2F450%29\" + \"%285x%2F450%29\" = 12,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x + 5x = 12*450,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "8x = 5400,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = \"5400%2F8\" = 675.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer.  The distance is  675 km.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );