document.write( "Question 1108213: 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.)\r
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\n" ); document.write( "I was thinking that Ewan is on the train for 24 minutes, so 24/4=6, meaning he stops at 6 stops. Since buses leave every 4 minutes, he encounters 6 buses. This is supposed to be a challenging question, so am I missing something?\r
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Algebra.Com's Answer #723237 by ikleyn(52776) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "You correctly counted 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( "But you missed to count those trains that started before 8:30 in the opposite direction and arrived 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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