Raman can do a piece of work in 8 days, Sanam and Aman together can do the same work in 6 days, while Raman and Aman together can do it in 4 days. How long will Sanam alone take to do the work?

24 days

Raman(R) = 8 days,

Sanam(S) + Aman(A) = 6 days,

Raman(R) + Aman(A) = 4 days,

⇒ Raman + Aman = 6  (Efficiency)

⇒ 3 + Aman = 6

⇒ Aman = 3,

Now, Sanam + Aman = 4

⇒ Sanam + 3 = 4

⇒ Sanam = 1,

⇒ Time required by Sanam to complete the total work alone = \(\frac{24}{1}\) = 24 days.      ..(\(\frac{Work}{Efficiency}\) = Time)