document.write( "Question 749355: please help me with this word problem:
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document.write( "Two stations A and B are 90km apart and on a highway.A car starts from A and another from B at the same time.If they go in the same direction, they meet after 9 hours and if they go in opposite directions,they meet after 1 2/7 (one- two by seven hours)hours, find the speeds of both the cars. \n" );
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Algebra.Com's Answer #456036 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two stations A and B are 90km apart and on a highway. \n" ); document.write( "A car starts from A and another from B at the same time. \n" ); document.write( " If they go in the same direction, they meet after 9 hours and \n" ); document.write( " if they go in opposite directions, they meet after 1 2/7 hours, \n" ); document.write( "find the speeds of both the cars. \n" ); document.write( ": \n" ); document.write( "Change 1 2/7 hrs to 9/7 hrs \n" ); document.write( ": \n" ); document.write( "Let x = Car from A's speed \n" ); document.write( "Let y = Car from B's speed \n" ); document.write( ": \n" ); document.write( "A distance equation when going towards each other \n" ); document.write( " \n" ); document.write( "multiply by 7 \n" ); document.write( "9x + 9y = 630 \n" ); document.write( ": \n" ); document.write( "A distance equation when going the same direction \n" ); document.write( "9x = 9y + 90 \n" ); document.write( "9x - 9y = 90 \n" ); document.write( ": \n" ); document.write( "Use elimination here \n" ); document.write( "9x + 9y = 630 \n" ); document.write( "9x - 9y = 90 \n" ); document.write( "---------------addition eliminates y, find x \n" ); document.write( "18x = 720 \n" ); document.write( "x = 720/18 \n" ); document.write( "x = 40 km/hr speed of the Car from A \n" ); document.write( "then \n" ); document.write( "9(40) + 9y = 630 \n" ); document.write( "9y = 630 - 360 \n" ); document.write( "9y = 270 \n" ); document.write( "y = 270/9 \n" ); document.write( "y = 30 km/hr speed of the car from B \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can confirm this \n" ); document.write( "9(40) - 9(30) = 90 \n" ); document.write( " |