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 until 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?
:
Let the completed job = 1, the trimming of 10 trees
Since we are solving for Ron, lets write the relationship
let t = the time required by Ron to do the job (2/3 of Tony's time)
then
1.5t = time required by Tony to do the job
Tony works for 71 minutes (60+11=71)
Ron works for 71+35.5 = 106.5 minutes
:
A shared work equation
{{{71/(1.5t)}}} + {{{106.5/t}}} = 1
multiply by t
{{{71/(1.5)}}} + 106.5 = t
Do the math
47.33 + 106.5
153.833 = t
Change 153.833 min to hrs min sec
2 hrs, 33 min, 50 sec Ron working alone does 10 trees