Question

To calculate how long it will take to read a 13,095-page novel if you read at the same rate, you can set up a proportion: 15 minutes 40 pages = minutes 13 , 095 pages 40 pages 15 minutes = 13,095 pages x minutes Now, solve for x (the time in minutes): = 15 × 13 , 095 40 ≈ 4 , 912.125 x= 40 15×13,095 ≈4,912.125 minutes. Since you want the answer in whole hours, you can divide 4,912.125 by 60 to convert it into hours: = 4 , 912.125 60 ≈ 81.87 x= 60 4,912.125 ≈81.87 hours. Rounded to the nearest whole hour, it will take approximately 82 hours to read the novel.

Answer 1

The subject question involves mathematics, specifically the conversion of time units and calculating time for reading a book based on a given reading speed. The process involves setting up a proportion and then using cross-multiplication and unit conversion to derive the total reading time in hours.

Step-by-step explanation:

The question pertains to the conversion of time units and rate of reading in Mathematics. This involves calculating the time it would take to read a novel by setting up a proportion based on a given reading speed. This type of question requires knowledge of the relationship between different time units and how to manipulate them through multiplication or division to convert between seconds, minutes, and hours.

To solve for the time in minutes one would need to read a 13,095-page novel at a given rate, we use the provided proportion:
40 pages / 15 minutes = 13,095 pages / x minutes.
To find x, we cross-multiply and divide:
x = (15 minutes × 13,095 pages) / 40 pages = 4,912.125 minutes. To convert minutes to hours, we divide by 60:
x = 4,912.125 minutes / 60 ≈ 81.87 hours.

Round this figure to the nearest whole hour, and it will take approximately 82 hours to read the novel. The question also explores basic addition and subtraction of time, conversion to fractional units of an hour, for just an understanding of how such problems are approached mathematically.