[tex]\mathsf{Rate = \frac{10\ pages}{4\ hours}}[/tex][tex]\mathsf{\frac{10}{4} = 2.5\ pages\ per\ hour}[/tex][tex]\mathsf{2.5 \times 16 = 40}[/tex][tex]\boxed{\mathsf{40\ pages}}[/tex]Jim can write 10 pages in 4 hours, so to find his writing speed, we divide 10 pages by 4 hours, giving a rate of 2.5 pages per hour. This means that in every hour, Jim is able to complete two and a half pages of his novel. To determine how many pages he can write in 16 hours, we multiply his hourly rate, 2.5 pages per hour, by 16 hours. The result is 40 pages. Therefore, at the same rate, Jim can write a total of 40 pages in 16 hours.