Question 1

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?

Solution

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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