Ram reads 200 pages at the rate of 70 pages/hour in the morning. In the evening, when he was tired, he read 200 pages at the rate of 30 pages/hour. What was his average rate of reading, in pages per hour?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 42 pages/hour.
Morning: 200 pages at 70 pages/hour
Evening: 200 pages at 30 pages/hour
Morning time = 200/70 = 20/7 hours
Evening time = 200/30 = 20/3 hours
Total time = 20/7 + 20/3 = (60 + 140)/21 = 200/21 hours
Total pages = 200 + 200 = 400 pages
Average rate = Total pages/Total time = 400/(200/21) = 400 × 21/200 = 2 × 21 = 42