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?
Answer & explanation
Correct answer: option 3
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)