A can do a piece of work in 15 days B in 20 days A and B work at it together for 6 days and then C f...........

Quantitative Aptitude (RBI Grade B) Time and work

A can do a piece of work in 15 days, B in 20 days. A and B work at it together for 6 days and then C finishes it in 3 days, in how many days could C have done it alone?

10days

12days

18days

22days

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Explanation:

A—–15—–4
B—–20—–3 LCM 60.
A and B work together 7 unit in 1day.
Then in 6 days both completed 7*6=42unit.
Remaining 18unit completed by C in 3 days.
18 unit————3days
Then 60unit—–? ==>10days.

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