document.write( "Question 749355: please help me with this word problem:
\n" ); 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.
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Algebra.Com's Answer #456036 by ankor@dixie-net.com(22740)\"\" \"About 
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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
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\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( "\"9%2F7\"x + \"9%2F7\"y = 90
\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
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\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
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\n" ); document.write( "You can confirm this
\n" ); document.write( "9(40) - 9(30) = 90
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