SOLUTION: David can do a job in 15 days while ken can do the same job in 10 days.If both started the work together and ken quit after 2 days while david finished the job how long will the e

Question 1036417: David can do a job in 15 days while ken can do the same job in 10 days.If both started the work together and ken quit after 2 days while david finished the job how long will the entire job take?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
David's rate of working:
[ 1 job ] / [ 15 days ]
Ken's rate of working:
[ 1 job ] / [ 10 days ]
---------------------
Add their rates of working to get their
rate working together

------------------
Their rate working together is:
[ 1 job ] / [ 6 days ]
------------------
In 2 days, the fraction of the job completed is

That means there is of the job left
after 2 days
-------------------------------------
Ken leaves after 2 days.
Let = time in days for David to finish the job

Multiply both sides by

David takes 10 days to finish the job

The entire job takes 12 days to finish
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