document.write( "Question 43373: Hello!\r
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document.write( "Can someone help please?\r
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document.write( "My question is:
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document.write( "Two trains travel in the same direction at 50 kilometres per hour and 32 kilometres per hour respectively. A man in the slower train observes that 15 seconds elapse before the faster train completely passes him.
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document.write( "What is the length of faster train?\r
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document.write( "Thank you for your help and time.
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document.write( "geomar \n" );
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Algebra.Com's Answer #28385 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! from the viewpoint of the man on the slower train, he is stationary and the faster train is going at 18kmph. This is the basics of \"relativity\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Anyway, we now have speed and time. We can therefore find the length.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First we need all numbers to have consistent units. We have speed in kmph and a time in seconds. We need to convert kmph into km per second OR convert the 15 seconds into hours. The second is easier\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Start with something you know: \n" ); document.write( "60 seconds = 1 minute \n" ); document.write( "so 1 second = 1/60 minutes \n" ); document.write( "and hence 15 seconds = 15/60 minutes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, 15 seconds = 1/4 minute\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Again, start with something we know: \n" ); document.write( "60 minutes = 1 hour \n" ); document.write( "so 1 minute = 1/60 hours \n" ); document.write( "and hence 1/4 minutes = (1/4)*(1/60) hours\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so 15 seconds = 1/240 hours\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "speed = distance/time \n" ); document.write( "so distance = speed*time \n" ); document.write( "--> distance = 18*(1/240) \n" ); document.write( "distance = 0.075km\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and converting this to something more meaningful, we have distance = 75m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, length of train is 75m long.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jon. \n" ); document.write( " \n" ); document.write( " |