document.write( "Question 886957: At 7:30 pm. , a freight train leaves the station and travels east and a passenger train leaves the same station and travels west at a rate 10 miles per hour faster than the freight train. At 11:30 pm the two trains are 400 miles apart. What is the rate of each train? Write the equation/s and solution . \n" ); document.write( "
Algebra.Com's Answer #536251 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! At 7:30 pm. , a freight train leaves the station and travels east and a passenger train leaves the same station and travels west at a rate 10 miles per hour faster than the freight train. At 11:30 pm the two trains are 400 miles apart. What is the rate of each train? \n" ); document.write( "*** \n" ); document.write( "let x=rate of freight train \n" ); document.write( "x+10=rate of passenger train \n" ); document.write( "distance=travel time*rate \n" ); document.write( "travel time of both trains=11:30-7:30=4 hrs \n" ); document.write( ".. \n" ); document.write( "4x+4(x+10)=400 \n" ); document.write( "4x+4x+40=400 \n" ); document.write( "8x=360 \n" ); document.write( "x=45 \n" ); document.write( "x+10=55 \n" ); document.write( "rate of freight train=45 mph \n" ); document.write( "rate of passenger train=55 mph \n" ); document.write( " |