Question

Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer and Elan 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 pages?

• A. 7 hrs 30 mins
• B. 8 hrs 15 mins
• C. 8 hrs 25 mins
• D. None of these

Answer 1

The correct option is B

8 hrs 15 mins

Number of pages typed by Ronald in 1 hour = $\frac{32}{6}=\frac{16}{3}$

Number of pages typed by Elan in 1 hour = $\frac{40}{5}=8$

Number of pages typed by both in 1 hour = $\frac{16}{3}$ + 8 = $\frac{40}{3}$

Time taken by both to type 110 pages = $110\times \frac{3}{40}=\frac{33}{4}hrs=8hrs15$ min