In the morning, Saeeda read 100 pages at the rate of 60 pages per hour. In the evening, she read another 100 pages at the rate of 40 pages per hour. What was the average rate of reading for the day?
- 48
- 40
- 45
- None of these
Explanation
Morning reading time:
Pages read = 100 pages
Rate = 60 pages/hour
Time taken = Pages / Rate = 100 / 60 = 5/3 hours
Evening reading time:
Pages read = 100 pages
Rate = 40 pages/hour
Time taken = Pages / Rate = 100 / 40 = 5/2 hours
Total pages read:
100 pages (morning) + 100 pages (evening) = 200 pages
Total time spent reading:
5/3 hours + 5/2 hours = 10/6 + 15/6 = 25/6 hours
Average rate of reading:
Average rate = Total pages / Total time
Average rate = 200 pages / (25/6 hours) = 200 * (6/25) = (200/25) * 6 = 8 * 6 = 48 pages/hour
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