document.write( "Question 1036256: A train 100 meter long takes 3 second to cross a man walking at the rate of 6km/hr in a direction opposite to that of the train. Find the speed of the train.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #650900 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A train 100 meter long takes 3 second to cross a man walking at the rate of 6km/hr in a direction opposite to that of the train.
\n" ); document.write( "Find the speed of the train.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let \"u\" be the speed of the train (in meters/minute !), now unknown.\r\n" );
document.write( "\r\n" );
document.write( "Then the equation is\r\n" );
document.write( "\r\n" );
document.write( "0.05*u + 100*0.05 = 100     (1)\r\n" );
document.write( "\r\n" );
document.write( "(0.05 is the 0.05 minute = \"1%2F20\" minute = 3 sec;\r\n" );
document.write( "100  = 6 \"km%2Fh\" = \"6000_m%2F60_minutes\" = 100 \"m%2Fmin\" ).\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve (1):\r\n" );
document.write( "\r\n" );
document.write( "0.05u + 5 = 100,\r\n" );
document.write( "\r\n" );
document.write( "0.05u = 100 - 5 = 95,\r\n" );
document.write( "\r\n" );
document.write( "u = \"95%2F0.05\" = 1900 \"m%2Fmin\" = 114 \"km%2Fh\".\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The speed of the train is 114 \"km%2Fh\".\r\n" );
document.write( "
Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );