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A can complete a task in 18 days while B can complete the same task in 12 days. If both work together for 6 days, and then A leaves. In how many will B complete the task?
1. 6 days
2. 2 days
3. 3 days
4. 4 days

1 Answer

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Best answer
Correct Answer - Option 2 : 2 days

Given :

A can complete a task in 18 days while B can complete the same task in 12 days.

Both worked for 6 days, then A left. 

Concept used :

Total work = Work per day × Number of working days 

Calculations :

Total work = LCM of 12 and 18 = 36 units 

A's per day work = 36/18 = 2 units 

B's per day work = 36/12 = 3 units 

Their total work in 6 days = 6 × (2 + 3) 

⇒ 30 units 

Remaining work = 36 - 30 = 6 units 

Time taken by B to complete the remaining work = 6/3 

⇒ 2 days 

∴ Option 2 will be the right answer.

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