Yes, the dog will catch the rabbit because the dog has a greater velocity than the rabbit...
If we make two position functions, one for the rabbit and the other for the dog:
r=150t and d=200t-600
When the dog catches the rabbit, d=r so:
200t-600=150t subtract 150t from both sides
50t-600=0 add 600 to both sides
50t=600 divide both sides by 50
t=12 minutes
