Question

A and B together can do a piece of work in 12 days which
B and C together can do in 16 days. After A has been
working at it for 5 days, and B for II days, c takes
we and finishes it alone in 13 days. In now many days
Could each do the work by himself?
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Answer 1

Total work =48 unit

efficiency of a + b =4_ _ __________(1)

efficiency of b+c=3_ _ ____________(2)

According to question

5a+7b+13c=48

Now using 1and 2 equation

5a+7(4-a)+13(a-1)=48

11a=33

a=3,b=1,c=2

Time taken by C=48/2

=24days