Problema Solution
If Shane does a job in 52 hours and with the help of Kori they can do it together in 39 hours, how long would it take Kori to do it alone?
Answer provided by our tutors
Shane does a job in 52 hours.
In 1 hour Shane will do 1/52 of the job.
Together they do the job in 39 hours.
In 1 hour together they will do 1/39 of the job.
Let 'x' represent the hours that Kori needs to do the job alone, x>0.
In 1 hour Kori will do 1/x of the job.
Now we can write:
1/52 + 1/x = 1/39
........
........
x = 156 hr
It will take 156 hours for Kori to do the job alone.