document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206391>Question 1206391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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? </SPAN>\n" );
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document.write( "The incorrect solution from one of the other tutors is because he has Ron working the additional 35.5 minutes instead of Tony.  (I made the same mistake the first time I set the problem up....)<br><BR>\n" );
document.write( "Here is a different setup and solution.<br><BR>\n" );
document.write( "Ron takes 2/3 as much time as Tony to trim a certain number of trees.  Then, recognizing that 71 minutes is exactly twice 35 minutes and 30 seconds = 35.5 minutes....<br><BR>\n" );
document.write( "Let 2x = # of trees Tony trims in 35.5 minutes<BR>\n" );
document.write( "Then 3x = # of trees Ron trims in 35.5 minutes<br><BR>\n" );
document.write( "Together in 71 minutes the number of trees they trim is 2(2x+3x) = 10x.<br><BR>\n" );
document.write( "The number of trees Tony alone trims in the additional 35.5 minutes is 2x.<br><BR>\n" );
document.write( "The total number of trees they trim is then 10x+2x = 12x.<br><BR>\n" );
document.write( "The number of trees they trim all together is 10, so 12x = 10, and x = 5/6.<br><BR>\n" );
document.write( "Now the number of trees Tony trims in 35.5 minutes is 3x = 3(5/6) = 5/2 = 2.5, so the number of minutes it takes Tony to trim 10 trees is 4(35.5) = 142 minutes.<br><BR>\n" );
document.write( "ANSWER: 142 minutes.<br><BR>\n" );
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