Vishal alone can complete $$\frac{1}{3}$$ part of a work in 60 days and Ashok alone can complete $$\frac{1}{4}$$ part of the same work in 30 days. In how many days Vishal and Ashok together can complete the same work?

Vishal alone can complete $$\frac{1}{3}$$ part of a work in 60 days.

Vishal alone can complete the whole work = $$60\times3$$ = 180 days

Ashok alone can complete $$\frac{1}{4}$$ part of the same work in 30 days.

Ashok alone can complete the whole work = $$30\times4$$ = 120 days

Let's assume the total work is 360 units.

Efficiency of Vishal = $$\frac{360}{180}$$ = 2 units/day

Efficiency of Ashok = $$\frac{360}{120}$$ = 3 units/day

Time taken by Vishal and Ashok together to complete the same work = $$\frac{360}{2+3}$$

= $$\frac{360}{5}$$

= 72 days