document.write( "Question 1196109: The head gardener can mow the lawns in the city park twice as fast as his assistant. Working together, they can complete the job in 1 1/3 hours.
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document.write( "How long would it take the head gardener working alone? \n" );
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Algebra.Com's Answer #828804 by ikleyn(52831)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "The head gardener can mow the lawns in the city park twice as fast as his assistant. \n" ); document.write( "Working together, they can complete the job in 1 1/3 hours. \n" ); document.write( "How long would it take the head gardener working alone? \n" ); document.write( "~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "According to the problem, the head gardener works as productive as two his assistants.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the problem statement is equivalent as if to say that three assistants will complete the job in 1 1/3 hours, \r\n" ); document.write( "or in 60 + 20 = 80 minutes, working together.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, one assistant will complete the job in 80*3 = 240 minutes.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "For the head gardener, it will take only half of this time, i.e. 240/2 = 120 minutes,\r\n" ); document.write( "or 2 (two) hours. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The head gardener will complete the job in 2 hours, working alone.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved MENTALLY, using reasoning and without using equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |