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Sunny, nikki and rohan are working on their dream project after 4 days of working they had an argument. so that, sunny left the work. Remaining work is continued by nikki and rohan. Nikki left the work 2 days before its completion the project. In how many days work is completed if sunny, nikki and rohan separately complete the project in 15, 20 and 30 days respectively

Sunny, nikki and rohan are working on their dream project after 4 days of working they had an argument. so that, sunny left the work. Remaining work is continued by nikki and rohan. Nikki left the work 2 days before its completion the project. In how many days work is completed if sunny, nikki and rohan separately complete the project in 15, 20 and 30 days respectively Correct Answer 10

Given

Sunny, Nikki and Rohan separately complete the project in 15, 20 and 30 days respectively 

Concept used

Work = time × efficiency

Calculation 

LCM of 15, 20 and 30 = 60  i.e, total work = 60 units 

Efficiency of Sunny = 4 units / per day 

Efficiency of Nikki = 3 units / per day 

Efficiency of Rohan = 2 units / per day 

They altogether work for 4 days , so total work done in 4 days = 36 units 

Remaining work is completed by Nikki and Rohan but before 2 days of completion Nikki left work 

So, Rohan worked separately for 2 days  = 4 units 

Remaining work = 60 - 40 = 20 units 

This 20 units was done by Nikki and Rohan in = 20/5 = 4 days 

So, whole project was completed in = 4 + 2 + 4 = 10 days

∴ 10 days are required to complete the whole work.

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