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SBI PO 2018 Papers

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Question : 20 of 100

Marks: +1, -0

A, B and C. each working alone, can finish a piece of work in 27, 33 and 45 days respectively. A starts by working alone for 12 days, then B takes over from A and works for 11 days. At this stage C takes over from B and completes the remaining work. In how many days the whole work was completed ?

33
31
39
35
37

Solution: 👈: Video Solution

A's 1 day's work =

\frac{1}{27}

⇒ A's 12 days work =

\frac{1}{27} \times 12 = \frac{4}{9}

Remaining work =

1 - \frac{4}{9} = \frac{5}{9}

Similarly, B's 11 days work =

\frac{1}{33} \times 11 = \frac{1}{3}

Remaining work =

\frac{5}{9} - \frac{1}{3} = \frac{2}{9}

Now, days taken by C to complete the work = 45 days

⇒ Days taken to complete

\frac{2}{9}

th of the work =

\frac{2}{9} \times 45 = 10

days

∴ Days in which the whole work is completed = 12 + 11 + 10 = 33 days

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