Creating systems in context

Courtney walked from her house to the beach at a constant speed of $4$4 kilometers per hour, and then walked from the beach to the park at a constant speed of $5$5 kilometers per hour. The entire walk took $2$2 hours and the total distance Courtney walked was $8$8 kilometers.

Let $b$b be the number of hours it took Courtney to walk from her house to the beach, and $p$p the number of hours it took her to walk from the beach to the park.