Q. Sonia can copy 50 pages in 10 hours. Priya and Sonia can copy 300 pages in 40 hours. Priya can copy 30 pages in

The correct answer is (C) 12 hours.

Explanation:

Step 1: Determine Sonia’s work rate
Sonia can copy 50 pages in 10 hours.
So, Sonia’s work rate is:
Work rate of Sonia = 50 pages ÷ 10 hours = 5 pages per hour.

Step 2: Determine the combined work rate of Sonia and Priya
Sonia and Priya together can copy 300 pages in 40 hours.
So, their combined work rate is:
Combined work rate = 300 pages ÷ 40 hours = 7.5 pages per hour.

Step 3: Determine Priya’s work rate
The combined work rate of Sonia and Priya is 7.5 pages per hour, and Sonia’s work rate is 5 pages per hour.
Thus, Priya’s work rate = Combined work rate – Sonia’s work rate = 7.5 – 5 = 2.5 pages per hour.

Step 4: Time taken by Priya to copy 30 pages
If Priya’s work rate is 2.5 pages per hour, the time taken by Priya to copy 30 pages is:
Time = Work ÷ Work rate = 30 ÷ 2.5 = 12 hours.

Final Answer: The correct option is (C) 12 hours.