document.write( "Question 310694: Two trains leave a station at the same time and are travelling in opposite directions. One is travelling at a rate of 35 km/h and the other is travelling at a rate of 65 km/h. In how many hours will the trains be 350 km apart? \n" ); document.write( "
Algebra.Com's Answer #222176 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! You will need to use the formula D=VT, where D=distance, V=velocity (or speed) and T=time. I will use the subscript 1 or 2 to note which train I am talking about. (V1 = velocity of train 1, V2 = velocity of train 2, and so on)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Write down what you know:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "V1=35 km/h \n" ); document.write( "V2 = 65km/h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total Distance, D = 350 km\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total distance is just the sum of each train's distance, because they started at the same point and travelled in opposite directions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D = D1 + D2\r \n" ); document.write( "\n" ); document.write( "D = V1*t + V2*t \n" ); document.write( "350 = 35t + 65t \n" ); document.write( "350 = t(35+65) \n" ); document.write( "350 = 100t \n" ); document.write( "350/100 = t \n" ); document.write( "3.5 = t\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The trains will be 350 km apart after 3.5 hours. \n" ); document.write( " |