To determine Josiah's reading rate in pages per hour, we need to divide the total number of pages he read by the total time he spent reading.

Josiah read $28$ pages in $1 \frac{3}{5}$ hours. First, let's convert $1 \frac{3}{5}$ hours into an improper fraction or a decimal.

Converting Mixed Number to Improper Fraction

$1 \frac{3}{5} = 1 + \frac{3}{5} = \frac{5}{5} + \frac{3}{5} = \frac{8}{5}$

So, $1 \frac{3}{5}$ hours is equal to $\frac{8}{5}$ hours.

Calculating the Reading Rate

Next, we need to divide the total pages by the time in hours to find the rate:

$\text{Reading Rate} = \frac{\text{Total Pages}}{\text{Total Time}} = \frac{28}{\frac{8}{5}}$

To simplify the division of a fraction, we multiply by the reciprocal of the divisor:

$\frac{28}{\frac{8}{5}} = 28 \times \frac{5}{8} = \frac{28 \times 5}{8} = \frac{140}{8}$

Simplify $\frac{140}{8}$:

$\frac{140}{8} = 17.5$

Conclusion

Josiah's reading rate is $17.5$ pages per hour.

Would you like more details or have any questions?

Here are 8 related questions you might find interesting:

1. How many pages would Josiah read in 2 hours at this rate?
2. If Josiah read for half an hour, how many pages would he have read?
3. What if Josiah increased his speed by 5 pages per hour, what would his new reading rate be?
4. If Josiah read at this rate for 3 days, reading 2 hours each day, how many pages would he read in total?
5. How long would it take Josiah to read a book with 350 pages at his current rate?
6. If another person reads 20 pages per hour, how many more pages does that person read than Josiah in 3 hours?
7. How many hours would Josiah need to read to complete a book with 500 pages?
8. What is the formula for converting a mixed number into an improper fraction?

Tip: When dividing by a fraction, multiply by its reciprocal for easier calculations.