In the afternoon, a student read 100 pages at the rate of 60 pages per hour. In the evening, when he was tired, he read 100 more pages at the rate of 40 pages per hour. What was his average rate of reading of pages per hour?
Answer & explanation
Correct answer: option 3
Afternoon
100 pages read at the rate 60 pages per hour
Total time taken to read 100 pages = \(\frac{100}{60}\) = \(\frac{5}{3}\) hour
Evening
100 pages read at the rate 40 pages per hour
Total time taken to read 100 pages = \(\frac{100}{40}\) = \(\frac{5}{2}\) hour
Average rate of reading the pages per hour = \(\frac{Total \; pages}{Total \;time}\)
= \(\frac{200 × 6 }{10 + 15}\) = \(\frac{1200 }{25}\) = 48