Ganesh, Ram and Sohan together can complete a work in 16 days. If Ganesh and Ram together can complete the same work in 24 days. The number of days Sohan alone takes, to finish the work is

Let total work to be done = 48 units

Let Ganesh, Ram and Sohan's efficiency respectively be $$g,r$$ and $$s$$ units/day

Ganesh, Ram and Sohan together can complete a work in 16 days

=> $$g+r+s=\frac{48}{16}=3$$ units/day ---------(i)

Similarly, $$g+r=\frac{48}{24}=2$$ units/day ----------(ii)

Subtracting equation (ii) from (i),

=> $$s=3-2=1$$ unit/day

$$\therefore$$ Time taken by Sohan alone to finish the work = $$\frac{48}{1}=48$$ days

=> Ans - (B)