document.write( "Question 1209198:  Hi
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document.write( "It took a train 65 seconds from starting to cross an iron bridge of length 1440m to completely pass over the bridge. It also took the train 75 seconds from when it entered a 1680m tunnel to completely pass through the tunnel. 
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document.write( "Find the length and speed of the train.  \n" );
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| Algebra.Com's Answer #847810 by mananth(16946)     You can put this solution on YOUR website! it took a train 65 seconds from starting to cross an iron bridge of length 1440m to completely pass over the bridge. It also took the train 75 seconds from when it entered a 1680m tunnel to completely pass through the tunnel. \n" ); document.write( "Find the length Letand speed of the train.\r \n" ); document.write( "\n" ); document.write( "Let speed of train be x m \n" ); document.write( "Let length of train be y m\r \n" ); document.write( "\n" ); document.write( "Length of bridge be 1440 s\r \n" ); document.write( "\n" ); document.write( "distance to cover = (y+1440)\r \n" ); document.write( "\n" ); document.write( "time =65 s \n" ); document.write( "65 = (y+1440)/x\r \n" ); document.write( "\n" ); document.write( "65x = y+1440 \n" ); document.write( "65x-1440 =y..................1\r \n" ); document.write( "\n" ); document.write( "For the other bridge\r \n" ); document.write( "\n" ); document.write( "75 = (y+1680)/x\r \n" ); document.write( "\n" ); document.write( "75x = y+1680 \n" ); document.write( "y= 75x -1680.............2\r \n" ); document.write( "\n" ); document.write( "Equate both equations\r \n" ); document.write( "\n" ); document.write( "75x-1680 = 65x - 1440 \n" ); document.write( "Rearrange\r \n" ); document.write( "\n" ); document.write( "75x-65x = 1680-1440\r \n" ); document.write( "\n" ); document.write( "10x = 240 \n" ); document.write( "x =24 m/s \n" ); document.write( "Speed of train = 24m/s\r \n" ); document.write( "\n" ); document.write( "Plug value of x in 65x-1440 =y\r \n" ); document.write( "\n" ); document.write( "65*24 -1440 = y \n" ); document.write( "y=120 m \r \n" ); document.write( "\n" ); document.write( "Length of train is 120 m\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |