Exams › SSC CGL (Prelims) › General

A can complete a task in 30 days, and B can complete the same task in 40 days. They work together for 10 days, and then C joins them and completes the remaining work in 5 days. How long will C alone take to complete the task?

1. 25 days
2. 26 days
3. 40 days
4. 27 days

Correct answer: 40 days

Solution

A’s rate is $1/30$ per day and B’s rate is $1/40$ per day, so together they do $7/120$ per day. In 10 days, they complete $7/12$ of the work, leaving $5/12$. In the next 5 days, A, B, and C together finish $5/12$, so C’s rate is $1/40$ per day, meaning C alone takes 40 days.

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