document.write( "Question 33683: I'm not exactly sure what category this question belongs in, but here it is:\r
\n" ); document.write( "\n" ); document.write( "A train leaves Smithville and travels south at a speed of 60 mph. Three hours later, a second train leaves on a parallel track and travels south at a speed of 90 mph. How far from the station will the second train overtake the first train? \n" ); document.write( "
Algebra.Com's Answer #20099 by mukhopadhyay(490)\"\" \"About 
You can put this solution on YOUR website!
Assume t hours be the time it would take the second train to overtake the first.
\n" ); document.write( "Second train travelled for t hours before passing the first;
\n" ); document.write( "The first train left three hours earlier, so it travlled for (t+3) hours before the second train passed it.
\n" ); document.write( "First train travels at 60 mph
\n" ); document.write( "=> The first train travelled (t+3)60 miles in (t+3) hours;
\n" ); document.write( "Similarly, the second train travlled 90t miles in t hours;
\n" ); document.write( "Distance travelled by the first train in (t+3) hours = Distance travelled by the second train in t hours (because one passed another and they started from the same place);
\n" ); document.write( "(t+3)60 = 90t
\n" ); document.write( "=> 2(t+3) = 3t
\n" ); document.write( "=> t = 6
\n" ); document.write( "It took 6 hours for the second train to pass the first train ;
\n" ); document.write( "Distance travelled by second train in 6 hours = 90*6 = 540 miles.
\n" ); document.write( "Answer: The second train will overtake the first train 540 miles from the station.
\n" ); document.write( " \n" ); document.write( "
\n" );