Rahul takes 4 days to finish one third of a job, Sohan takes 3 days to finish one sixth of thesame work and Ram takes 5 days to finish half the job. All 3 of them together work for 3 days after whichRahul and Ram leave the job. How long will it take for Sohan to complete the remaining work?
Explanation:
From the above information, we can say that Rahul, Sohan and Ram take 12, 18 and 10 days respectively to complete the work alone. LCM(12, 18, 10) = 180 Let the total work be 180 units So Work done by Rahul in 1 day = 15 units Work done by Sohan in 1 day = 10 units Work done by Ram in 1 day = 18 units Let the time taken by Sohan to complete the remaining work be x days. Therefore, 180 = 3*(15 + 10 + 18) + 10x or, 180 = 129 - 10x or, x = 5.1 days
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