In the afternoon, a student read 100 pages at the rate of 60 pages per hour. In the evening, when she was tired, she read 100 more pages at the rate of 40 pages per hour. What was her average rate of reading, in pages per hour?
Question
In the afternoon, a student read 100 pages at the rate of 60 pages per hour. In the evening, when she was tired, she read 100 more pages at the rate of 40 pages per hour. What was her average rate of reading, in pages per hour?
Solution
To find the average rate, we first need to find the total pages read and the total time spent reading.
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Total pages read: The student read 100 pages in the afternoon and 100 pages in the evening, so the total pages read is 100 + 100 = 200 pages.
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Total time spent reading: In the afternoon, the student read at a rate of 60 pages per hour, so she spent 100/60 = 1.67 hours reading. In the evening, she read at a rate of 40 pages per hour, so she spent 100/40 = 2.5 hours reading. The total time spent reading is 1.67 + 2.5 = 4.17 hours.
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Average rate of reading: The average rate is the total pages read divided by the total time spent reading, so the average rate is 200/4.17 = 48 pages per hour.
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