A, B and C can finish a work in 20, 30 and 60 days respectively working alone. If A and B started working together and after 5 days, B left the work and C joined to finish the remaining work with A. How many days did C work?
A, B and C can complete the work in 20, 30 and 60 days respectively
∴ Work done by A, B and C in one day is 1/20, 1/30 and 1/60 respectively
Let ‘x’ be the number of days C works with A to complete the work
∴ According to the given condition,
⇒ 5 × (1/20 + 1/30) + x × (1/20 + 1/60) = 1
∴ 5/12 + x/15 = 1
∴ x = 35/4
∴ C works with A for 35/4 days to complete the work.