document.write( "Question 1035510: Jim and Mateo live across a lake from each other at a distance of about 3 miles. Jim can row his boat to Mateo's house in 1 hour and 20 minutes. Mateo can drive his motorboat the same distance in 30 minutes.
\n" ); document.write( " If they leave their house at the same time and head toward each other, how long will it be before they meet?
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Algebra.Com's Answer #650170 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Jim and Mateo live across a lake from each other at a distance of about 3 miles. Jim can row his boat to Mateo's house
\n" ); document.write( "in 1 hour and 20 minutes. Mateo can drive his motorboat the same distance in 30 minutes.
\n" ); document.write( "If they leave their house at the same time and head toward each other, how long will it be before they meet?
\n" ); document.write( "How far from the nearest shore will they be when they meet?
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document.write( " = .    (1) ( <<<---  =  of an hour = 1 hour and 20 minutes )\r\n" );
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document.write( "Comments:\r\n" );
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document.write( "    is the Jim's rate (speed).\r\n" );
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document.write( "    is the Mateo's rate (speed).\r\n" );
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document.write( "   (1) is the standard Travel and Distance equation.\r\n" );
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document.write( "Solution\r\n" );
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document.write( "Simplify (1): \r\n" );
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document.write( " = 3,\r\n" );
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document.write( "multiply both sides by 4:\r\n" );
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document.write( "9t + 24t = 12,\r\n" );
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document.write( "33t = 12,\r\n" );
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document.write( "t =  =  of an hour.\r\n" );
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document.write( "To answer the second question, compare the values \r\n" );
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document.write( "   and   ,\r\n" );
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document.write( "that are the distances covered by Jim and Mateo respectively.\r\n" );
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document.write( "Solved.\r\n" );
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