Calculate the fraction of pages Bari read on Monday.

Bari read $\frac{2}{5}$ of the pages on Monday.

$$\text{Pages read on Monday} = \frac{2}{5} P$$

On Tuesday, Bari read $\frac{2}{3}$ of the remaining pages.

$$\text{Pages read on Tuesday} = \frac{2}{3} \times \left(\frac{3}{5} P\right) = \frac{2 \times 3}{3 \times 5} P = \frac{6}{15} P = \frac{2}{5} P$$

$$\text{Total fraction read} = \text{Fraction read on Monday} + \text{Fraction read on Tuesday}$$ $$\text{Total fraction read} = \frac{2}{5} P + \frac{2}{5} P = \frac{4}{5} P$$

We are told that 11 pages are remaining.

$$\frac{1}{5} P = 11$$

To find $P$, multiply both sides by 5:

$$P = 11 \times 5$$ $$P = 55$$

There are $\boxed{55}$ pages in the book.