document.write( "Question 1207010: A train leaves Orlando at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 112mph
\n" ); document.write( " faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?
\n" ); document.write( "

Algebra.Com's Answer #844803 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "When the second train overtakes the first, the first train has been traveling for 6 hours and the second train for 2 hours.

\n" ); document.write( "The ratio of times is 3:1, and the distances are the same, so the ratio of speeds is 3:1.

\n" ); document.write( "Let x = speed of first train
\n" ); document.write( "Then 3x = speed of second train

\n" ); document.write( "The difference in their speeds is 112mph:

\n" ); document.write( "3x-x=112
\n" ); document.write( "2x=112
\n" ); document.write( "x=56

\n" ); document.write( "ANSWERS: The speeds of the two trains are

\n" ); document.write( "first train: x = 56mph
\n" ); document.write( "second train: 3x - 168mph

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