document.write( "Question 1108544: Trains on the Glasgow Subway depart every 4 minutes, and a complete circuit takes 24 minutes. Ewan sets off at 8.30 am on a train round in one direction at the same time as another train leaves in the opposite direction. How many trains will he pass on a complete circuit back to his starting station? (Do not count trains at the start or end station.) \n" ); document.write( "

Algebra.Com's Answer #723553 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "First, you should count those trains that started at or after 8:30 am in the opposite direction.\r\n" );
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document.write( "There are 6 of them that started at 8:30 am, 8:34 am, 8:38 am, 8:42 am, 8:46 am and 8:50 am.\r\n" );
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document.write( "In addition to it, you should count those trains that started before 8:30 in the opposite direction and arrived \r\n" );
document.write( "to the starting/ending station after 8:30 am.\r\n" );
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document.write( "Ewan will meet those trains too.    (Accounting for these trains and not missing them is the major point of the solution to this problem !)\r\n" );
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document.write( "These are the trains that \r\n" );
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document.write( "started at 8:06 am     arrived at 8:30 am     (should not be counted)\r\n" );
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document.write( "           8:10 am                8:34 am     (counts)\r\n" );
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document.write( "           8:14 am                8:38 am     (counts)\r\n" );
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document.write( "           8:18 am                8:42 am     (counts)\r\n" );
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document.write( "           8:22 am                8:46 am     (counts)\r\n" );
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document.write( "           8:24 am                8:50 am     (counts)\r\n" );
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document.write( "The number of such trains is  5.\r\n" );
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document.write( "So, the total is  6 + 5 = 11, and I do not count the trains at the start or end station, as the condition requires.\r\n" );
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\n" ); document.write( "\n" ); document.write( "This problem was just solved once at the link\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1108213.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1108213.html\r
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\n" ); document.write( "\n" ); document.write( "See also the lesson\r
\n" ); document.write( "\n" ); document.write( " - More complicated but still elementary logic problems, Problem 2\r
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\n" ); document.write( "\n" ); document.write( "I reproduced this solution here AGAIN for your convenience.\r
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