document.write( "Question 600459: A train running at a uniform speed passes a bridge 275m long in 15 seconds and another bridge 425m long in 21 seconds. Find :
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document.write( "1. the length of the train:
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document.write( "2. the speed of the train in km/hr.
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Algebra.Com's Answer #379398 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A train running at a uniform speed passes a bridge 275m long in 15 seconds and another bridge 425m long in 21 seconds. \n" ); document.write( " Find \n" ); document.write( ": \n" ); document.write( "1. the length of the train: \n" ); document.write( "2. the speed of the train in km/hr. \n" ); document.write( ": \n" ); document.write( "Let t = length of the train in meters \n" ); document.write( "Let s = the speed of the train in meters/sec \n" ); document.write( ": \n" ); document.write( "write a speed equation for each bridge: Speed = dist/time \n" ); document.write( ": \n" ); document.write( "s = \n" ); document.write( "and \n" ); document.write( "s = \n" ); document.write( "therefore \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "21(t+275) = 15(t+425) \n" ); document.write( ": \n" ); document.write( "21t + 5775 = 15t + 6375 \n" ); document.write( ": \n" ); document.write( "21t - 15t = 6375 - 5775 \n" ); document.write( "6t = 600 \n" ); document.write( "t = 100 meters is the length of the train \n" ); document.write( ": \n" ); document.write( "Find the speed \n" ); document.write( "s = \n" ); document.write( "s = \n" ); document.write( "s = 25 meter/sec \n" ); document.write( ": \n" ); document.write( "Convert to km/hr: \n" ); document.write( "S = \n" ); document.write( "S = 90 km/hr \n" ); document.write( " \n" ); document.write( " |