Q:Sudhir and Shyam can do a work in 12 days, while Shyam alone can complete it in 30 days. In how many days can Sudhir complete that work alone?
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Step-by-step explanation:
Ram takes 20 days to complete a piece of work.
Shyam takes 30 days to complete a piece of work.
Ram completes (1/20) of a piece of work in 1 day.
Shyam completes (1/30) of a piece of work in 1 day.
Together R and S complete (1/20) + (1/30) = (1/12) of a piece of work in 1 day.
(1/12) of a piece of work - 1 day
(12/12) of a piece of work - (12/12)/(1/12) = 12 days.
R and S take 12 days to complete a piece of work when they work together.
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