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Answer:

To determine how many hours a day Lahari should work to finish typing the book in 12 days, we can use the concept of work rate.

Given:

Lahari can type 100 pages of a book in 15 days.

Let's calculate her work rate:

Work rate = Total work / Time

Her work rate is:

Work rate = 100 pages / 15 days = 6.67 pages per day

Now, we need to find out how many pages she needs to type in 12 days to finish the work.

Total work = Work rate * Time

Total work = 6.67 pages per day * 12 days = 80 pages

Therefore, Lahari needs to type 80 pages in 12 days to finish the work.

Now, let's calculate how many hours a day she should work to achieve this.

If she works x hours a day, her work rate would be:

Work rate = Total work / Time

Work rate = 80 pages / 12 days = 6.67 pages per day

Now, we can set up a proportion to find the value of x:

6.67 pages per day = 100 pages / 15 days

Cross-multiplying:

6.67 * 15 = 100 * x

100.05 = 100x

Dividing both sides by 100:

x = 100.05 / 100

x = 1.0005

Therefore, Lahari should work approximately 1.0005 hours per day (or approximately 1 hour and 36 minutes) to finish typing the book in 12 days.

Answer:

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