document.write( "Question 1097585: Mary and Murray travel respectively at x and y km/h heading directly towards each other across a distance of 960 km. If both start at 10 am they will meet at 3 pm. If Murray starts at 6 am and Mary starts at 10 am they will meet at noon. Find (x,y) \n" ); document.write( "

Algebra.Com's Answer #712041 by ikleyn(53764) $\"\"$ $\"About$

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\n" ); document.write( "Mary and Murray travel respectively at x and y km/h heading directly towards each other across a distance of 960 km.
\n" ); document.write( "If both start at 10 am they will meet at 3 pm. If Murray starts at 6 am and Mary starts at 10 am they will meet at noon. Find (x,y)
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document.write( "First condition,        \"If both start at 10 am they will meet at 3 pm.\" means that\r\n" );
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document.write( "5x + 5y = 960  kilometers   (1)   (they cover the distance in 5 hours, from 10 am to 3 pm)\r\n" );
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document.write( "The second condition    \"If Murray starts at 6 am and Mary starts at 10 am they will meet at noon.\"  means\r\n" );
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document.write( "6x + 2y = 960               (2)   (Murray is on the way during 6 hours, while Mary is on the way only 2 hour before they meet each other)\r\n" );
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document.write( "So, you have this system of 2 equations in 2 unknown\r\n" );
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document.write( "5x + 5y = 960,   \r\n" );
document.write( "6x + 2y = 960,\r\n" );
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document.write( "which you can easily solve by any method.\r\n" );
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