Final answer:
Buddy and Daisy will meet when they reach a distance of 120 ft, with Buddy eating 6 treats and Daisy eating 4 treats.
Step-by-step explanation:
Jack's mom dropped a bag of treats on the kitchen floor, scattering 16 treats. When the dogs, Buddy and Daisy, heard the treats falling from 240 feet away, they started running simultaneously from the same spot in the yard. Buddy can run 40 ft per second and eat two treats per second, while Daisy can run 30 ft per second and eat one treat per second.
To find out when Buddy and Daisy will meet and how many treats they will eat, we can create a table and calculate the time and treats for each dog at different distances. We can start with the time and treats for the first second when they both start running:
- Buddy: Time = 1 second, Distance = 40 ft, Treats = 2
- Daisy: Time = 1 second, Distance = 30 ft, Treats = 1
From this table, we can see that Buddy and Daisy will meet when they both reach a distance of 120 ft, which will take Buddy 3 seconds and Daisy 4 seconds. At that point, Buddy will have eaten 6 treats and Daisy will have eaten 4 treats.