SOLUTION: peter can do a piece of work in 8 days sam in 10 days and john in 16 days sam adams john work together for 4 days and then john is replaced by peter . find when the work will b

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Question 971797: peter can do a piece of work
in 8 days sam in 10 days and john in 16 days
sam adams john work together for 4 days and
then john is replaced by peter . find when the
work will be done.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Trace carefully where all the given data fit.

RATES in JOBS per DAY
PERSON______________RATE
Peter_______________1%2F8
Sam_________________1%2F10
John________________1%2F16

Workers acting at the same time combine their rates through addition.
Sam and John together, 4 days.
Sam and Peter together, unknown t days.
ONE whole job is started and finished.

RT=J for relating rate, time, and quantity of job.

highlight_green%28%281%2F10%2B1%2F16%29%2A4%2B%281%2F10%2B1%2F8%29t=1%29

16%2A5 is the lowest common denominator. Multiply left and right sides of
the equation by this, and the denominators can be cleared; and then continue on
to solve for time in days, t.