Question 40

When Rain and Mohan work together, they complete a work in 4 days. if Ram alone can complete this work in 12 days then in how many days Mohan alone can complete this work ?

Solution

When Ram and Mohan work together, they complete a work in 4 days.In one day, they complete $$\frac{1}{4}^{th}$$ of work.

Ram alone can complete in 12days. Ram can do $$\frac{1}{12}^{th}$$ of work in one day.

Work done by Mohan in 1day = $$\frac{1}{4}^{th}$$-$$\frac{1}{12}^{th}$$=$$\frac{1}{6}^{th}$$

Therefore, Mohan can complete in 6days if he works alone.

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