RRB Group D 9-Nov-2014 Shift 1 Solved Paper

Question : 78 of 100

Marks: +1, -0

A and B can do a piece of work in 12 days. B and C can do it in 15 days. C and A can do it in 20 days. In how many days, can C alone finish the work separately?

30 days
20 days
60 days
None of these

Validate

Solution:

(3) As per the information, we can write

2(\;{1}/{ {A}}+\;{1}/{ {B}}+\;{1}/{ {C}})=\;{1}/{12}+\;{1}/{15}+\;{1}/{20}

⇒ 2(\;{1}/{12}+\;{1}/{ {C}})=\;{12}/{60}=\;{1}/{5}

⇒ \;{1}/{ {C}}=\;{1}/{10}-\;{1}/{12}=\;{1}/{60}

The time taken by

{C}

to finish the work

=60

days

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