document.write( "Question 971062: 7. Two trains, one travelling 15 km/hr faster than the other, leave the same station at the same time, one travelling east and the other west. At the end of 6 hours they are 570 km apart. What is the speed of each train? \n" ); document.write( "
Algebra.Com's Answer #593634 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Speed of slower train=x \n" ); document.write( "Speed of faster train = x + 15\r \n" ); document.write( "\n" ); document.write( "6{x +(x+15)}=570 speed units km/h 6 is hours, so distance will be km.\r \n" ); document.write( "\n" ); document.write( "divide by 6 and collect terms\r \n" ); document.write( "\n" ); document.write( " (2x+15)=95 \n" ); document.write( "subtract 15 from both sides \n" ); document.write( "2x=80 \n" ); document.write( "divide by 2 \n" ); document.write( "x=40 km/h (slower) \n" ); document.write( "x+15= 55 km/h (faster)\r \n" ); document.write( "\n" ); document.write( "6 hours \n" ); document.write( "slower train 6*40=240 km \n" ); document.write( "faster train 5+55=330 \n" ); document.write( "Total is sum, or 570. \n" ); document.write( " \n" ); document.write( " |