College

How many hours in total did Dipak require to read the entire book if he read for [tex]$2 \frac{3}{4}$[/tex] hours every day and completed the book in [tex]$\frac{8}{11}$[/tex] weeks?

Answer :

Sure! Let's break down the problem and solve it step by step.

Dipak reads for [tex]\(2 \frac{3}{4}\)[/tex] hours every day. This can be converted into a decimal:
- [tex]\(2 \frac{3}{4} = 2 + \frac{3}{4} = 2 + 0.75 = 2.75\)[/tex] hours

Next, we have to figure out how many days there are in [tex]\(\frac{8}{11}\)[/tex] weeks. Since a week has 7 days, we can calculate:
- Number of days = [tex]\( \frac{8}{11} \times 7 = \frac{56}{11} \approx 5.09\)[/tex] days

Now, calculate the total hours spent reading. To do this, multiply the number of hours he reads each day by the number of days he reads:
- Total reading hours = [tex]\(2.75 \text{ hours/day} \times 5.09 \text{ days} \approx 14.0\)[/tex] hours

So, Dipak required approximately 14.0 hours to read the entire book.