Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while 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 hours 30 minutes B. 8 hours C. 8 hours 15 minutes D. 8 hours 25 minutes
Correct Answer: C
Explanation
In \(1 \mathrm{hr}\), Ronald types \(=32 / 6\) pages and Elan types \(=40 / 5\) pages If they work together they will type \(=32 / 6+40 / 5=40 / 3\) pages in \(1 \mathrm{hr}\) Time needed to complete the assignment is \(=(3 \times 110) / 40=33 / 4=8 \mathrm{hrs} 15 \mathrm{mins}\) Hence, the time required is \(8 \mathrm{hrs} 15 \mathrm{mins}\).
