document.write( "Question 396549: a freight train leaves the station 2 hours before a passenger train. There are two trains are traveling in the same direction on parallel tracks. If the rate of the passenger train is 11 mph faster than the Freight train, how fast is each train traveling if the passenger train passes the freight train in 10 hours? \n" ); document.write( "

Algebra.Com's Answer #281275 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
a freight train leaves the station 2 hours before a passenger train. There are two trains are traveling in the same direction on parallel tracks. If the rate of the passenger train is 11 mph faster than the Freight train, how fast is each train traveling if the passenger train passes the freight train in 10 hours?
\n" ); document.write( "..
\n" ); document.write( "freight train = x mph
\n" ); document.write( "passenger train = x+11 mph
\n" ); document.write( "...
\n" ); document.write( "freight train time = 10 +3 = 13 hours
\n" ); document.write( "passanger train = 10 hours
\n" ); document.write( "..
\n" ); document.write( "distance same. because they meet
\n" ); document.write( "..
\n" ); document.write( "13x=10(x+11)
\n" ); document.write( "13x=10x+110
\n" ); document.write( "13x-10x=110
\n" ); document.write( "3x= 110
\n" ); document.write( "/3
\n" ); document.write( "x= 36.66 mph speed of freight train
\n" ); document.write( "passenger train speed = 36.66 +11 = 47.66 mph \n" ); document.write( "

\n" );