document.write( "Question 161603: Distance is 1200\r
\n" );
document.write( "\n" );
document.write( "The Wallaces take a trip by train and plane
\n" );
document.write( "The train is going 48 mph and takes 2 hrs longer than the plane
\n" );
document.write( "The plane is going 240 mph.\r
\n" );
document.write( "\n" );
document.write( "What is the total time of the trip? \r
\n" );
document.write( "\n" );
document.write( "I know this is a d=rt problem and I know that the train takes two hours longer. I'm just not sure how to set up the equation and is there two equations since I am solving for the entire time of the trip?\r
\n" );
document.write( "\n" );
document.write( "Thank you, Rose \n" );
document.write( "
Algebra.Com's Answer #119086 by Alan3354(69443) You can put this solution on YOUR website! Distance is 1200 \n" ); document.write( "The Wallaces take a trip by train and plane \n" ); document.write( "The train is going 48 mph and takes 2 hrs longer than the plane \n" ); document.write( "The plane is going 240 mph. \n" ); document.write( "What is the total time of the trip? \n" ); document.write( "------------------- \n" ); document.write( "n = hours on the train \n" ); document.write( "p = hours on the plane \n" ); document.write( "------------- \n" ); document.write( "48n + 240p = 1200 \n" ); document.write( "n = p+2 \n" ); document.write( "----------- \n" ); document.write( "Sub for n into the 1st eqn \n" ); document.write( "48(p+2) + 240p = 1200 \n" ); document.write( "48p+96 + 240p = 1200 \n" ); document.write( "288p = 1104 \n" ); document.write( "p = 3 5/6 hours \n" ); document.write( "n = 5 5/6 hours \n" ); document.write( "Total time = 9 2/3 hours, or 9 hours 40 mins\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |