Question

Shryia read a 481-page-long book cover to cover in a single session, at a constant rate. After reading for 1.51 hours, she had 403 pages left to read.
How fast was Shryia reading? and How long did it take her to read the entire book?

Answer 1

Answer:

Shryia can read 52 pages in an hour.

Shryia took 9 hours 15 minutes to read entire book.

Step-by-step explanation:

Given: Total pages in the book= 481

           After reading for 1.51 hours, she had 403 pages left to read.

First finding number of pages read in 1.51 hours.

As given, Shriya had 403 pages left to read after 1.51 hours

∴ Pages read in 1.51 hours= $(481-403)= 78\ pages$

Hence, number of pages read in 1.51 hours is 78 pages.

Now, finding speed of shryia reading.

Speed= $\frac{Number\ of\ pages}{Time\ taken}$

⇒ Speed= $\frac{78}{1.51\ hours} = 51.65 \approx 52\ pages$

Hence, Shryia can read 52 pages in an hour.

Next finding time taken to read entire book by Shryia.

Speed= 52 pages per hour

Entire book= 481 pages

⇒ Time taken to read entire book= $\frac{Number\ of\ pages}{Speed\ of\ reading}$

⇒ Time taken to read entire book= $\frac{481}{52} = 9.25\ hours$

Converting the time into hour and minutes, we will get 9 hour 15 minutes.

Hence, Shryia took 9 hours 15 minutes to read entire book.

Answer 2

Answer:

It took Shryia 9.31 hours to read the entire book.

Step-by-step explanation:

i) total number of pages = 481 page

ii) pages left to read  = 403 pages

iii) pages read = 481 - 403 = 78 pages

iv) time taken to read 78 pages = 1.51 hour

v) Shyria was reading at a $= \frac{78\hspace{0.1cm}pages}{1.51\hspace{0.1cm}hours} = 51.66\hspace{0.1cm} pages \hspace{0.1cm}per\hspace{0.1cm}hour$

vi) It took Shryia $= \frac{481\hspace{0.1cm}pages}{51.66pages\hspace{0.1cm}per\hspace{0.1cm}hour} = 9.31\hspace{0.1cm} hours$