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
9pages/15min = 0.6 Pages/min.
198pages * 1min./0.6pages = 330 min.
reading.
(330min/30min) * 5min = 55 min. on
break.
330 + 55 = 385 min = 6 hours-25 min consumed.
8:00 AM + 6:25 = 14:25=2:25 PM.= Finish
time.
To solve this problem, we need to calculate how many breaks Rudy will take during his reading time and add that to the time it takes him to read the pages.
Step 1: Calculate the number of breaks
Rudy takes a 5-minute break every half hour. To determine how many breaks he will take, we need to find out how many half hours are in the total reading time.
Total reading time = Number of pages / Pages read per minute
Total reading time = 198 pages / 9 pages per 15 minutes
To convert the 15-minute reading interval to half hours, we divide by 30 (since there are 30 minutes in a half hour):
Half hours = Total reading time / 30 = ((198 pages / 9) * 15) / 30
Step 2: Calculate the total break time
Total break time = Number of breaks * Length of each break
Total break time = Number of breaks * 5 minutes
Step 3: Calculate the total reading time (including breaks)
Total reading time (including breaks) = Total reading time + Total break time
Total reading time (including breaks) = Total reading time + (Number of breaks * 5)
Step 4: Add the total reading time (including breaks) to the starting time to find the finishing time
Finishing time = Starting time + Total reading time (including breaks)
Let's calculate the answer:
Step 1: Calculate the number of breaks
Total reading time = (198 pages / 9 pages per 15 minutes) = 22 x 15 minutes (1 hour and 30 minutes)
The total reading time is 1 hour and 30 minutes, which is equal to 3 half hours. Therefore, Rudy will take 3 breaks.
Step 2: Calculate the total break time
Total break time = 3 breaks * 5 minutes (3 x 5 minutes = 15 minutes)
So, Rudy will take a total of 15 minutes of breaks.
Step 3: Calculate the total reading time (including breaks)
Total reading time (including breaks) = 1 hour and 30 minutes + 15 minutes = 1 hour and 45 minutes
Step 4: Add the total reading time (including breaks) to the starting time to find the finishing time
Finishing time = 8 am + 1 hour and 45 minutes
Since there are 60 minutes in an hour, we add the minutes separately:
8 am + 1 hour = 9 am
9 am + 45 minutes = 9:45 am
Therefore, Rudy will finish reading the 198 pages at 9:45 am.