Kiran, Vishal and Dinesh work in a juice factory. Kiran takes 2 hours to extract as much juice as Vishal can in 3 hours. Dinesh takes 5 hours to extract as much juice that Kiran extracts in 4 hours. A tank can be filled with juice in 48 hours, if all of them work together. How long will it take to fill the tank, if Dinesh alone is trying to fill the tank?

Solution (By Examveda Team)

$$\eqalign{ & 3 \times V = 2 \times K \cr & \frac{V}{K} = \frac{2}{3} = \frac{{10}}{{15}} \cr & 4 \times K = D \times 5 \cr & \frac{K}{D} = \frac{5}{4} = \frac{{15}}{{12}} \cr & {\text{Total work}} = 48 \times \left( {10 + 15 + 12} \right) \cr & {\text{Time of Dinesh}} = \left( {\frac{{48 \times 37}}{{12}}} \right) = 148{\text{ hr}} \cr} $$