Answer:
Mary can read 100 pages in 2 hour and 16 minutes.
Explanation:
Given:
Number of pages Mary can read = 22
Time taken to read 22 pages = 30 minutes.
We need to find time required to read 100 pages.
Solution:
We will first find time required to read 1 page.
Now we know that;
22 pages = 30 minutes
1 page = time required to read 1 page
By using Unitary method we get;
time required to read 1 page =
![(30)/(22) = 1.36 \ minutes](https://img.qammunity.org/2021/formulas/mathematics/high-school/lcdq429b3l0nx5tdjacfmt1o43jnivhwk3.png)
Now we can say that;
1 page = 1.36 minute
100 page = time taken to read 100 pages.
Again by using Unitary method we get;
time taken to read 100 pages =
![1.36 * 100 = 136\ minutes](https://img.qammunity.org/2021/formulas/mathematics/high-school/6lg48z2lmhphg650lb7kn51qjgsixci5lh.png)
Now we know that;
1 hour = 60 minutes
Number of hours in 136 minutes =136 minutes.
Again by using unitary method we get;
Number of hours in 136 minutes =
![(136)/(60)=2.26\ hrs](https://img.qammunity.org/2021/formulas/mathematics/high-school/hkranojw7g2s9ia8ducga9olquo73vhacl.png)
Now Converting 0.26 hr into minutes we get
Now
![0.26 \ hr = 0.26 * 60 = 15.6\ min](https://img.qammunity.org/2021/formulas/mathematics/high-school/9q6or0uz2895hqhb3vmroyp3isqjm1usro.png)
Now rounding 15.6 minute to nearest minute we get;
Number of hours Mary can read 100 pages =
![2\ hrs \ and \ 16 \ min](https://img.qammunity.org/2021/formulas/mathematics/high-school/bmfjfz4oeu3og3dfaqj4adau41hqlasdat.png)
Hence Mary can read 100 pages in 2 hour and 16 minutes.