Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32…
2023
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 on a computer. 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
Attempted by 6 students.
Show answer & explanation
Correct answer: C
Explanation: Find each person's typing rate in pages per hour, add the rates, then divide the total pages by the combined rate.
Ronald: 32 pages in 6 hours → rate = 32/6 = 16/3 pages per hour.
Elan: 40 pages in 5 hours → rate = 40/5 = 8 pages per hour.
Combined rate = 16/3 + 8 = (16 + 24)/3 = 40/3 pages per hour ≈ 13.333 pages per hour.
Time to type 110 pages = 110 ÷ (40/3) = 110 × 3/40 = 330/40 = 33/4 = 8.25 hours = 8 hours 15 minutes.
Answer: 8 hours 15 minutes.