document.write( "Question 1048641: Jimmy and Dean were in a yacht race from Auckland to Suva, a distance of 1200km. Jimmy left port in Auckland two hours after Dean. He sailed at an average speed which was 2km/h faster than Dean and finished in Suva exactly one day before him.
\n" ); document.write( "Given that the average speed is distance/time then find Dean's average speed during the yacht race. \n" ); document.write( "

Algebra.Com's Answer #664228 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "Jimmy and Dean were in a yacht race from Auckland to Suva, a distance of 1200km. Jimmy left port in Auckland two hours after Dean.
\n" ); document.write( "He sailed at an average speed which was 2km/h faster than Dean and finished in Suva exactly one day before him.
\n" ); document.write( "Given that the average speed is distance/time then find Dean's average speed during the yacht race.
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\n" ); document.write( "\n" ); document.write( "Solution 1. One quadratic equation.\r
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document.write( "Your governing equation is\r\n" );
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document.write( " = ,\r\n" );
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document.write( "where \"v\" is the Dean's speed, in .\r\n" );
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document.write( "Left side is the time Dean spent on his race. \r\n" );
document.write( "Think what is the right side.\r\n" );
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document.write( "Solve the equation for \"v\". As a first step, multiply both sides by n*(v+2)\r\n" );
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document.write( "The rest is arithmetic.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solution 2. Two equations in two unknowns.\r
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document.write( "The governing equations are \r\n" );
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document.write( "1200 = v*t,            (1)\r\n" );
document.write( "1200 = (v+2)*(t-2).    (2)\r\n" );
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document.write( "These are the \"D = RT\" equations.\r\n" );
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document.write( "Again, \"v\" is the is the Dean's speed, in .\r\n" );
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document.write( "\"t\" is the time Dean spent on his race. \r\n" );
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document.write( "To solve it, express t =  from (1) and then substitute it in (2).\r\n" );
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document.write( "Then solve for \"v\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "For similar Travel and Distance problems see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems \r
\n" ); document.write( "\n" ); document.write( "    - More problems on upstream and downstream round trips \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems solvable by quadratic equations \r
\n" ); document.write( "\n" ); document.write( "    - Using fractions to solve Travel problems \r
\n" ); document.write( "\n" ); document.write( "    - Unpowered raft floating downstream along a river\r
\n" ); document.write( "\n" ); document.write( "    - Had a car move faster it would arrive quicker\r
\n" ); document.write( "\n" ); document.write( "    - How far do you live from school? \r
\n" ); document.write( "\n" ); document.write( "    - Selected Travel and Distance problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Selected problems from the archive on the boat floating Upstream and Downstream \r
\n" ); document.write( "\n" ); document.write( "    - Selected problems from the archive on a plane flying with and against the wind \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referenced lessons are the part of this textbook (Travel and Distance problems of the section \"Word problems\").\r
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