SOLUTION: A takes half time than B to do a work. C takes time equal to A and B together. If three together can do the work in 7 days then in how many days A alone can do the work?

Question 959538: A takes half time than B to do a work. C takes time equal to A and B together. If three together can do the
work in 7 days then in how many days A alone can do the work?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of days for A to
do the work working alone
--------------------------
B takes twice as long to do the work, so
= number of days for B to
do the work working alone
--------------------------
C takes time equal to A and B together, so
= number of days for C to
do the work working alone
---------------------------
A, B, and C together take days
to do the work
--------------
Add their rates of working to get
their rate working together
------------------------

Multiply both sides by

----------------
A takes 12.8333 days working alone
B takes 25.667 days working alone
C takes 38.5 days working alone
---------------------------------
check:

OK

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