Question

A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?

Answer 1

See the attachment for detail solution
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Answer 2

Answer: C can do a piece of work in 24 days.

Step-by-step explanation:

Since we have given that

Number of days in which A and B can do a piece of work = 3 days

Number of days in which B and C can do a piece of work = 4 days

Number of days in which C and A can do a piece of work = 6 days

So, total number of units = L.C.M. of 3, 4, 6 = 12

So, the number of days in which C can alone do the work is given by

$\dfrac{12\times 2}{3+2-4}=\dfrac{24}{1}=24\ days$

Hence, C can do a piece of work in 24 days.