document.write( "Question 887059: There are 2 cars moving in opposite directions. the distance between them is 300cm. They move forward for 100 cm with a speed of 50 cm/s, and comes back 50 cm at 25 cm/s. After how many seconds will the cars collide ? \n" ); document.write( "
Algebra.Com's Answer #536340 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 100 cm at 50 cm/s = 2 seconds \n" ); document.write( "50 cm at 25 cm/s = 2 seconds \n" ); document.write( "the solution depends on whether you consider a touch a collision.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you do consider a touch a collision, then they collide in 6 seconds. \n" ); document.write( "each car will travel 100 cm in 2 seconds. \n" ); document.write( "each car will go back 50 cm in 2 seconds. \n" ); document.write( "after 4 seconds they will be at the 50 cm mark. \n" ); document.write( "each car then travels another 100 cm in 2 seconds. \n" ); document.write( "they have both traveled 150 cm at the 6 second mark. \n" ); document.write( "since both meet at the 150 cm mark, you can consider this a collision but it would not be a very severe one. \n" ); document.write( "they would just touch.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you don't consider a touch a collision, then they collide in 9 seconds. \n" ); document.write( "each car will travel 100 cm in 2 seconds. \n" ); document.write( "each car will go back 50 cm in 2 seconds. \n" ); document.write( "after 4 seconds they will be at the 50 cm mark. \n" ); document.write( "each car then travels another 100 cm in 2 seconds. \n" ); document.write( "they have both traveled 150 cm at the 6 second mark. \n" ); document.write( "the cars would touch at the 150 cm mark, but you do not consider this a collision so they continue on their way. \n" ); document.write( "they go back 50 cm in the next 2 seconds. \n" ); document.write( "they are now at the 100 cm mark in a total of 8 seconds. \n" ); document.write( "they attempt to move forward 100 in the next 2 seconds, except that they never get there because they collide at the 150 cm mark. \n" ); document.write( "it took them both 1 second to get to the 150 cm mark from the 100 cm mark, so they collide after 9 seconds total.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |