Ram and Shyam can complete a task in $6\frac{2}{3}$ days and 15 days, respectively. They work together for 4 days, and then Ram leaves. In how many days after Ram leaves, will Shyam complete the remaining task alone?

2 days

Ram = \( { 6}_{ 3}^{ 2} \) days,

Shyam = 15 days,

⇒ Ram + Shyam worked for 4 days = (9 + 4) x 4 = 13 x 4 = 52 units. ..(Efficiency × Days = Total work)

⇒ Remaining work = 60 - 52 = 8 units.

⇒ Time taken by Shyam to complete 8 units = \(\frac{8}{4}\) = 2 days.  ..(\(\frac{Work}{Efficiency}\) = Time)