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4. Charlene is reading a book that has a volume of 120 in ³ and cover
dimensions of 8 in. by 10 in.
The front and back covers are each 0.5 cm thick, and each page is 0.05
mm thick.
Charlene can read 20 pages per hour.
Determine how many hours it will take for Charlene to read the entire book.

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shubhamchouhanvrVT

The number of hours required by Charlene to read the complete book will be 37.1 hours.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that:-

  • Charlene is reading a book that has a volume of 120 in ³ and covers dimensions of 8 in. by 10 in.
  • The front and back covers are each 0.5 cm thick, and each page is 0.05 mm thick.
  • Charlene can read 20 pages per hour.

First, we will calculate the total thickness of the book:-

V = 120 cubic inches

V =  A x t

120 = 8 x 10 x t

t = ( 120 )/( 80) = 1.5 inches.

t = 1.5 x 2.54 = 3.81 cm

Now we have a cover thickness of 0.5 cm so the total cover thickness will be 0.1 cm and the thickness of the page will be 0.05 mm or 0.005 cm.

The volume of the pages is:-

Vp = 3.81 - 0.1 = 3.71 cubic cm

The number of the pages will be calculated as:-

Number of the pages =  [tex]\dfrac{3.71}{0.005}[/tex] = 742 pages.

We have 20 pages 1 hour so 742 pages will be readable in:-

Reading time = 742 / 20 = 37.1 hours.

Therefore the number of hours required by Charlene to read the complete book will be 37.1 hours.

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