document.write( "Question 856933: 1.Trains A and B are travelling on the same rotue heading towards the same destination.Train B has already covered a distance of 220km before the train 'A' started.
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document.write( "2.The two trains meet each other after 11 hours after start of train 'A'
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document.write( "3.Had the trains been travelling towards each other (from a distance of 220 km)
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document.write( "they would have meet after one hour/
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document.write( " what is the speed of train A and B in kmph\r
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document.write( "pls provide solution in detailed
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Algebra.Com's Answer #516332 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 1.Trains A and B are travelling on the same route heading towards the same destination. \n" ); document.write( "Train B has already covered a distance of 220km before the train 'A' started. \n" ); document.write( "2.The two trains meet each other after 11 hours after start of train 'A' \n" ); document.write( "3.Had the trains been travelling towards each other (from a distance of 220 km) \n" ); document.write( "they would have meet after one hour/ \n" ); document.write( "what is the speed of train A and B in kmph \n" ); document.write( ": \n" ); document.write( "let a = Train A's speed \n" ); document.write( "let b = Train B's speed \n" ); document.write( ": \n" ); document.write( "When they are going the same direction, their relative speed (a-b) \n" ); document.write( "When they are going toward each other their relative speed is (a+b) \n" ); document.write( ": \n" ); document.write( "Write a distance equation for each scenario; dist = time * speed \n" ); document.write( "1(a + b) = 220 \n" ); document.write( "11(a - b) = 220 \n" ); document.write( ": \n" ); document.write( "Simplify both equations, divide the 1st by 1, divide the 2nd by 11, you have: \n" ); document.write( "a + b = 220 \n" ); document.write( "a - b = 20 \n" ); document.write( "----------- addition eliminates b, find a \n" ); document.write( "2a = 240 \n" ); document.write( "a = 240/2 \n" ); document.write( "a = 120 km/h, the speed of train A \n" ); document.write( ": \n" ); document.write( "Find the speed of train B \n" ); document.write( "120 + b = 220 \n" ); document.write( "b = 220 - 120 \n" ); document.write( "b = 100 km/h the speed of train B \n" ); document.write( " \n" ); document.write( " |