document.write( "Question 1154800: Train A has a speed 15 miles per hour greater than that of train B. If train A travels 270miles in the same times train B travels
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document.write( "240 miles, what are the speeds of the two trains?\r
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document.write( "Train A was traveling at ( ) miles an hour where train B was traveling at ( ) miles per hour??? \n" );
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Algebra.Com's Answer #777280 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! rate * time = distance \n" ); document.write( ": \n" ); document.write( "Let the rate of train B be r, then rate of train A is r+15 \n" ); document.write( ": \n" ); document.write( "(1) (r+15) * t = 270 \n" ); document.write( ": \n" ); document.write( "(2) r * t = 240 \n" ); document.write( ": \n" ); document.write( "There are two equations in two unknowns \n" ); document.write( ": \n" ); document.write( "solve equation 2 for t \n" ); document.write( ": \n" ); document.write( "t = 240/r \n" ); document.write( ": \n" ); document.write( "substitute for t in equation 1 \n" ); document.write( ": \n" ); document.write( "(r+15) * 240/r = 270 \n" ); document.write( ": \n" ); document.write( "240r +3600 = 270r \n" ); document.write( ": \n" ); document.write( "30r = 3600 \n" ); document.write( ": \n" ); document.write( "r = 120 \n" ); document.write( ": \n" ); document.write( "Train B travels at 120 miles per hour \n" ); document.write( ": \n" ); document.write( "Train A travels at 120 +15 = 135 miles per hour \n" ); document.write( ": \n" ); document.write( "***************************************************************************** \n" ); document.write( "Train A was traveling at 135 miles an hour where train B was traveling at 120 miles per hour \n" ); document.write( "***************************************************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |