document.write( "Question 53726: A train leaves Roseville heading east at 6:00 am at 40 miles per hour. another eastbound train leaves on a parallel track at 7 am at 50 miles per hour. What time will it be when the two trains are the same distance away from Roseville? \n" ); document.write( "
Algebra.Com's Answer #36007 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A train leaves Roseville heading east at 6:00 am at 40 miles per hour. another eastbound train leaves on a parallel track at 7 am at 50 miles per hour. What time will it be when the two trains are the same distance away from Roseville? \n" ); document.write( ": \n" ); document.write( "Let t = time in hrs required by the 1st train which leaves at 6:00 am \n" ); document.write( ": \n" ); document.write( "The 2nd train leaves an hour later so it's time will be (t-1) \n" ); document.write( ": \n" ); document.write( "Dist = speed * time: \n" ); document.write( ": \n" ); document.write( "1st train dist = 2nd train dist \n" ); document.write( " 40t = 50(t-1) \n" ); document.write( " 40t = 50t - 50 \n" ); document.write( " 40t - 50t = -50 \n" ); document.write( " -10t = -50 \n" ); document.write( " t = -50/-10 \n" ); document.write( " t = +5 hours \n" ); document.write( ": \n" ); document.write( "Add 5 hrs to 6:00 am; at 11:00 am they will be the same distance: \n" ); document.write( ": \n" ); document.write( "2nd train travels only 4 hours, \n" ); document.write( ": \n" ); document.write( "check our solutions using distance: 40*5 = 50*4 \n" ); document.write( " \n" ); document.write( " |