The book that Rudy chose to read for his book report has 198 pages. He can read 9 pages in 15 minutes, but he takes a 5 minute break every half hour. Rudy begins reading at 8 am. What time that day will he finish reading the 198 pages?
Please explain
assuming that he reads for 25 min and rests for 5 min,
he reads 9(25/15) = 15 pages every half hour
198/15 = 13 remainder 3
so, he reads for 13 half-hours = 6:30
plus an extra :05 for the last 3 pages.
8:00 + 6:35 = 2:35 pm
Note that if the 5-min break occurs during the first 3 minutes of the half-hour, his end time will be increased by 5 minutes to 2:40 pm
To find out what time Rudy will finish reading the 198 pages, we need to consider the time it takes to read and the breaks he takes.
First, let's determine how many pages Rudy can read in 1 hour. We know that he can read 9 pages in 15 minutes.
So, in 60 minutes (1 hour), Rudy can read:
9 pages / 15 minutes × 60 minutes = 36 pages.
Next, let's calculate how many pages Rudy can read in 1 hour and 30 minutes (which includes the 5-minute break).
Rudy reads for 75 minutes (1 hour and 15 minutes) and then takes a 5-minute break. Therefore, he reads for a total of 80 minutes.
In 80 minutes, he can read:
36 pages / 60 minutes × 80 minutes = 48 pages.
Since the book has 198 pages, let's determine how many times Rudy can read for 1 hour and 30 minutes before he finishes the book.
198 pages / 48 pages = 4.125.
Since we can't have fractions of book readings, we need to take only the whole number part. Thus, Rudy can read for 4 hours and 30 minutes (4 × 1 hour and 30 minutes).
Now, let's calculate the total time it takes for Rudy to read 4 hours and 30 minutes without considering the breaks.
4 hours × 60 minutes = 240 minutes.
240 minutes + 30 minutes = 270 minutes.
Rudy starts reading at 8 am, so to find out the finishing time, we need to add 270 minutes to 8 am.
8 am + 270 minutes = 11:30 am.
Therefore, Rudy will finish reading the 198 pages at 11:30 am.