document.write( "Question 1127685: A northbound train and a southbound train meet each other on parallel tracks heading in opposite directions. The northbound train travels 12 miles per hour faster than the southbound train. After 1.5 hours, they are 177 miles apart. At what speeds are the two trains traveling \n" ); document.write( "
Algebra.Com's Answer #744131 by addingup(3677)![]() ![]() You can put this solution on YOUR website! NB train = SB + 12 \n" ); document.write( "After 1.5 hrs they are 177 miles apart. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "Let the speed of the SB train be x. Then, the speed of the NB train is x + 12: \n" ); document.write( "x + x + 12 = 2x + 12 This is the speed at which they are driving away from one another. And they do this for 1.5 hours: \n" ); document.write( "1.5(2x + 12) = 177 \n" ); document.write( "3x + 18 = 177 \n" ); document.write( "3x = 159 \n" ); document.write( "x = 53 this is the speed of the southbound train. \n" ); document.write( "The NB train is going 12 miles faster: \n" ); document.write( "53 + 12 = 65 this is the speed of the NB train. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "Check: \n" ); document.write( "1.5(53 + 65) = 177 \n" ); document.write( "79.5 + 97.5 = 177 Correct\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |