Samira can do a piece of work in 9 days. Sujata can do $\frac{1}{3}$ of the same work in 3 days. If Samira worked alone for 2 days and left, then, in how many days can Sujata alone complete the remaining work ?
Answer & explanation
Correct answer: option 4
Samira = 9 days,
Sujata = \(\frac{1}{3}\)W = 3 days = 9 days,
⇒ Samira worked for 2 days alone and left = 1 x 2 = 2 units ..(Efficiency × Days = Total work)
⇒ Remaining work = 9 - 2 = 7 units,
⇒ Time required by Sujata to complete the remaining work alone = \(\frac{7}{1}\) = 7 days. ..(\(\frac{Work}{Efficiency}\) = Time)