document.write( "Question 149039: Two trains leave the depot at the same time, one traveling east and the other west. The speed of one train is 9mph slower than the other. If after 4 hours the distance between the trains is 196 miles find the speed of each train. \n" ); document.write( "
Algebra.Com's Answer #109340 by mangopeeler07(462) ![]() You can put this solution on YOUR website! x=speed of one train \n" ); document.write( "x-9=speed of the other train \n" ); document.write( "mph(hr)=total distance\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4(x)+4(x-9)=196---------------------------------because the sum of 4 hours times both speeds will give you the total distance\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify \n" ); document.write( "4x+4x-36=196\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms \n" ); document.write( "8x-36=196\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 36 to each side \n" ); document.write( "8x=232\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 8 \n" ); document.write( "x=29\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[x=speed of one train] \n" ); document.write( "[x-9=speed of the other train]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "speed of one train= 29mph \n" ); document.write( "speed of the other train= 20mph \n" ); document.write( " |