SOLUTION: Peter can do a piece of work in 8 days, sam in 10 days and john in 16 days. Sam and john work together for 4 days and then john is replaced by peter. Find when the work will be fin

Question 1025939: Peter can do a piece of work in 8 days, sam in 10 days and john in 16 days. Sam and john work together for 4 days and then john is replaced by peter. Find when the work will be finished.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Peter's rate:
[ 1 job done ] / [ 8 days ]
Sam's rate:
[ 1 job done ] / [ 10 days ]
John's rate:
[ 1 job done ] / [ 16 days ]
----------------------
Let = the fraction of the job that
Sam and John get done in days
---------
Add their rates of working to get their
rate working together

Multiply both sides by

This is the fraction of the job Sam and John
complete in days
there is of the job left
------------------------
Let = time in days for Peter and Sam to
do of the job

Multiply both sides by

-----------------
The job gets done in
5 and 5/9 days
Hope I got it -get a 2nd opinion, too.
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