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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?

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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?


1). 8 days
2). 17/2 days
3). 35/4 days
4). 31/4 days


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3 vote
Answered by on | Votes 3 |

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.

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