Question

$$A$$ can do $$\dfrac{2}{3}$$ of a certain work in $$16$$ days and $$B$$ can do  $$\dfrac{1}{4}$$ of the same work in $$3$$ days. In how many days can both finish the work. working together?

Solution

$$A$$ does $$\dfrac{2}{3}$$ work in $$16$$ $$days.$$Therefore, $$A$$ can do whole work in $$16 \times \dfrac{3}{2} = 24$$ $$days$$$$B$$ does $$\dfrac{1}{4}$$ work in $$3$$ days.Therefore, $$B$$ can do whole work in $$12$$ $$days$$.$$1$$ day's work of $$A$$ and $$B$$ together $$= \dfrac{1}{24}+\dfrac{1}{12}=\dfrac{1}{8}$$Therefore, $$A$$ and $$B$$ can together finish the work in $$8$$ $$days$$.Mathematics

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