Question 1206391
<br>
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>
Here is a different setup and solution.<br>
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>
Let 2x = # of trees Tony trims in 35.5 minutes
Then 3x = # of trees Ron trims in 35.5 minutes<br>
Together in 71 minutes the number of trees they trim is 2(2x+3x) = 10x.<br>
The number of trees Tony alone trims in the additional 35.5 minutes is 2x.<br>
The total number of trees they trim is then 10x+2x = 12x.<br>
The number of trees they trim all together is 10, so 12x = 10, and x = 5/6.<br>
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>
ANSWER: 142 minutes.<br>