Question
Rakshit, Ajay, and Satish are sanitation workers in a
Municipal Corporation. Rakshit alone takes 20 hours to clean a drain while Ajay takes 12 hours when working alone to do the same. All three together take only 5 hours to clean the drain. In how many hours, can Satish complete the work alone?Solution
Using the LCM method, The LCM of 20, 12, and 5 =60unit (total work) Rakshit's efficiency = 60/20=3unit Ajay's efficiency = 60/12=5unit Efficiency of Rakshit, Ajay, and Satish = 60/5=12unit Now the efficiency of Satish =12-(5+3) =4unit Time taken by Satish = Total work / Efficiency of Satish Time =60/ 4 =15days.
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