document.write( "Question 1206391: ron can trim 10 trees in 2/3 the time it takes tony. they trim trees together for 1 hour 11 minutes. then tony continues alone untill a total of 10 trees are trimmed ( it took him 35minutes and 30seconds). working alone, how long would it take ron to trim 10 trees? \n" ); document.write( "

Algebra.Com's Answer #843856 by ikleyn(52903) $\"\"$ $\"About$

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\n" ); document.write( "ron can trim 10 trees in 2/3 the time it takes tony. they trim trees together for 1 hour 11 minutes.
\n" ); document.write( "then tony continues alone until a total of 10 trees are trimmed ( it took him 35 minutes and 30 seconds).
\n" ); document.write( "working alone, how long would it take ron to trim 10 trees?
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document.write( "Let's \"a\" be the Tony's rate of work, in terms of the entire job per minute.\r\n" );
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document.write( "Then Ron's rate of work is 1.5a of the entire job per minute.\r\n" );
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document.write( "They worked together for 1 hour and 11 minutes, which is 71 minutes.\r\n" );
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document.write( "After that, Tony worked alone for 35.5 minutes .\r\n" );
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document.write( "So, we write the joint work equation in the form\r\n" );
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document.write( "    (a+1.5a)*71 + 35.5*a = 1.\r\n" );
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document.write( "At this point, the setup is complete.\r\n" );
document.write( "Now our task is to solve this equation and find \"a\".\r\n" );
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document.write( "    2.5a*71 + (71/2)*a = 1\r\n" );
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document.write( "Multiply both sides by 2\r\n" );
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document.write( "    5a*71   + a*71 = 2\r\n" );
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document.write( "    6a*71 = 2\r\n" );
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document.write( "    a =  =  = .\r\n" );
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document.write( "Thus, the Tony's rate of work is    of the job per minute.\r\n" );
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document.write( "So, Tony needs  213 minutes to complete the job working alone.\r\n" );
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document.write( "Hence, Ron needs  minutes = 2*71 minutes = 142 minutes, or 2 hours and 22 minutes\r\n" );
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document.write( "to complete the job working alone.\r\n" );
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document.write( "ANSWER.  Ron needs 2 hours and 22 minutes to complete the job working alone.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The solution by the tutor ankor@dixie-net.com is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "I did not try to identify his error explicitly, but definitely, that solution is incorrect.\r
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