Solution:
Given:
Ravi can complete the work 30 days
Manish can complete it in 15 days
And Naveen can complete it in 10 days
Concept:
In this type of question always imagine the total work as LCM of time taken by individuals to
perform the work.
Formula used:
Efficiency = Total work/Time taken
Calculation:
Let the total work be LCM of 30, 15, 10 i.e. 30 unit
So efficiency of Ravi = 30/30 = 1 unit/day
Efficiency of Manish = 30/15 = 2 unit/day
Efficiency of Naveen = 30/10 = 3 unit/day
Ravi work for 2 days and performed work = 2 × 1 = 2 unit
Manish work for 5 days and performed work = 5 × 2 = 10 unit
Naveen 5 day work = 5 × 3 = 15 unit
Remaining work = 30 – (2 + 10 + 15) = 3 unit
∴ Time taken by Naveen to complete the remaining work = 3/3 = 1 day
