Exams › SSC CGL (Prelims) › General

X can complete a task in 12 days, while Y takes 18 days to finish the same task. If they work together for 3 days, what fraction of the work will still remain?

1. 1/3
2. 5/12
3. 7/12
4. 9/12

Correct answer: 7/12

Solution

X’s rate is 1/12 per day and Y’s rate is 1/18 per day, so together they do 5/36 of the work per day. In 3 days, they complete 15/36 = 5/12 of the work, so the remaining work is 1 - 5/12 = 7/12.

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