If the student has already read 2525 of the pages, how long will it take them to read the rest of the book? _____ minutes Your answer should be written as a decimal rounded to the nearest tenth if necessary.

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MrRoyalgo MrRoyalgo · Answer 1

The number of pages the student can read in a minute is an illustration of rates.

The time left to complete the whole book is 90 minutes

From the complete question, the student's rate is:

[tex]\mathbf{Rate = 50\ pages/hr}[/tex]

The number of pages is:

[tex]\mathbf{Total = 100\ pages}[/tex]

First, we calculate the time to read the whole book

[tex]\mathbf{Total\ Time = \frac{Total\ pages}{Rate}}[/tex]

[tex]\mathbf{Total\ Time = \frac{100\ pages}{50\ pages/ hr}}[/tex]

[tex]\mathbf{Total\ Time = 2\ hours}[/tex]

The number of the student has read is:

[tex]\mathbf{Pages = 25}[/tex]

Next, we calculate the time spent on the 25 pages

[tex]\mathbf{Time\ Spent = \frac{Pages}{Rate}}[/tex]

[tex]\mathbf{Time\ Spent = \frac{25\ pages}{50\ pages/hr}}[/tex]

[tex]\mathbf{Time\ Spent = 0.5\ hr}[/tex]

Convert to minutes

[tex]\mathbf{Time\ Spent = 30\ minutes}[/tex]

So, the time left is:

[tex]\mathbf{Time\ Left = Total\ Time - Time\ Spent}[/tex]

This gives

[tex]\mathbf{Time\ Left = 2\ hours- 30\ minutes}[/tex]

[tex]\mathbf{Time\ Left = 1\ hour, 30\ minutes}[/tex]

Convert to minutes

[tex]\mathbf{Time\ Left = 90\ minutes}[/tex]

Hence, the time left is 90 minutes