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Janki and Mansi, working separately, can paint a wall in 45 and 72 days respectively. They started working together but Janki left the work 33 days before the completion of the work. In total, how many days did it take to complete the work?

Janki and Mansi, working separately, can paint a wall in 45 and 72 days respectively. They started working together but Janki left the work 33 days before the completion of the work. In total, how many days did it take to complete the work? Correct Answer 48

Given:

Janki can complete in 45 days

Mansi can complete in 72 days

Concept used:

Total work = LCM of times of pipes or persons

Calculation:

LCM of 45 and 72 = 360 i.e total work

So, efficiency of Janki = 360/45 = 8

Efficiency of Mansi = 360/72 = 5

Effective efficiency = 8 + 5 = 13

For last 33 days only Mansi worked

So, 33 × 5 = 165 units

Remaining = 360 - 165 = 195 units

Time taken to complete 195 units = 195/13

⇒ 15 days

So, total time taken by them to complete the task = 33 + 15 = 48 days

∴ It will take 48 days to complete the work

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