document.write( "Question 1175599: An express train travels 100kph from Station A to Station B. A local train travelling at 45kph, taken 45 minutes longer for the same trip. How far apart is Station A from Station B. \n" ); document.write( "

Algebra.Com's Answer #801234 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Let \"d\" be this distance.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The \"time equation\" is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     -  =   of an hour  (= 45 minutes).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, multiply both sides by 900.  You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    20d - 9d = 675\r\n" );
document.write( "\r\n" );
document.write( "      11d    = 675\r\n" );
document.write( "\r\n" );
document.write( "        d    =  = 61.364.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.    = 0.75 =   of an hour.  ! Correct !\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The distance is 61.364 km.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );