document.write( "Question 1035059: Train T leaves the station at 10am. Twenty minutes later, Train G leaves the same station heading in the same direction as Train T. Train T travels at 50mph while Train G travels at 60mph.
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\n" ); document.write( "I know d=rt, r=d/t and that t=d/r but I'm truly stuck on this one.
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Algebra.Com's Answer #649691 by ikleyn(52835) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Train T leaves the station at 10 am. Twenty minutes later, Train G leaves the same station heading in the same direction as Train T.
\n" ); document.write( "Train T travels at 50 mph while Train G travels at 60 mph.
\n" ); document.write( "How long, what time and how far are the trains from the station when Train G catches up Train T?
\n" ); document.write( "I know d=rt, r=d/t and that t=d/r but I'm truly stuck on this one.
\n" ); document.write( "Thank you so much.
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document.write( "In 20 minutes after train T started, it will be at the distance  miles from the station.\r\n" );
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document.write( "(  is  of an hour, or 20 minutes! )\r\n" );
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document.write( "Let \"t\" be the time measured after 10:20 am, when both train are running till the moment when the train G catches up the train T.\r\n" );
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document.write( "During this time \"t\" the train T covers the distance 50*t miles (so, you use the formula d = rt just in the second time).\r\n" );
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document.write( "During this time \"t\"the train G covers the distance 60*t miles (so, you use the formula d = rt just in the third time).\r\n" );
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document.write( "But the distance covered during the time \"t\" by the train G is by the value of  longer than that covered \r\n" );
document.write( "by the train T during the same time \"t\". It gives you an equation\r\n" );
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document.write( "60*t = 50*t + .\r\n" );
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document.write( "To solve it, multiply both side by 3. You will get\r\n" );
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document.write( "180t = 150t + 50,\r\n" );
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document.write( "180t - 150t = 50,\r\n" );
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document.write( "30t = 50, \r\n" );
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document.write( "t =  =  hour = 100 minutes = 1 hour and 40 minutes.\r\n" );
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document.write( "So, the train G will catch the train T in 1 hour and 40 minutes, counting from 10:20 am. \r\n" );
document.write( "In other words, the train G will catch the train T at noon, 12:00. \r\n" );
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document.write( "During 1 hour and 40 minutes (= hour) the train G will cover  = 100 miles.\r\n" );
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document.write( "So, the train G will catch the train T in 100 miles from the station.\r\n" );
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document.write( "Did I answered all your questions?\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson Travel and Distance problems in this site and many other lessons on Travel and Distance, associated with it.\r
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