Question #104607

The literature teacher says that the faster you are able to read, the less time you will need to read a book. Maria can read 200 words a minute, and she took 14 hours to read a book that she checked out from the library. Linda can read 160 words per minute. How long will she need her to read the same book?

Expert's answer

Linda needs 17.5 hours her to read the same book.


Step-by-step explanation:


The number of words read in 1 minute by Maria = 200 words


The time taken to complete the book = 14 hours


Now, 1 hour = 60 minutes


So, 14 hour = 60 x 14 = 840 minutes


Now, the total words read by Maria in 840 minutes

= 840 x ( Number of words read per minute) = 840 x (200) = 168,000


Hence, in total 14 hours, Maria read 168,000.



So, the book has 168,000 words in total.



Now, The number of words read in 1 minute by Linda = 160 words


So, the number of words read by her in 1 hour ( = 60 minutes)  is


= 60 x (160 words) = 9,600 words


⇒ Linda reads 9,600 words in 1 hour.


So, the number of hours taken to read 168,000 words by Linda  is 168000/9600=17.5 hours. 


Hence, Linda needs 17.5 hours her to read the same book.



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