Dinesh and Rakesh are working on an Assignment, Dinesh takes 6 hours to type 32 pages on a computer, while Rakesh takes 5 hours to type 40 pages. How much time will they take working together on two different computers to type an assignment of 110 page ?

Dinesh and Rakesh are working on an Assignment, Dinesh takes 6 hours to type 32 pages on a computer, while Rakesh takes 5 hours to type 40 pages. How much time will they take working together on two different computers to type an assignment of 110 page ? Correct Answer 8 hours, 15 minutes

$$\eqalign{ & {\text{Dinesh's one hour work}} \cr & = \frac{{32}}{6} \cr & = \frac{{16}}{3}{\text{ pages/hour}} \cr & {\text{Rakesh's one hour work}} \cr & = \frac{{40}}{5} \cr & = 8{\text{ pages/hour}} \cr & {\text{Dinesh's and Rakesh's one hour work}} \cr & = \frac{{16}}{3} + 8 \cr & = \frac{{40}}{3}{\text{ pages/hour}} \cr & {\text{They will finish the work together}} \cr & \frac{{{\text{Total work}}}}{{{\text{Efficiency}}}} \cr & = \frac{{110}}{{\frac{{40}}{3}}} \cr & = 8\frac{1}{4} \cr & = {\text{8 hours, 15 minutes}} \cr} $$