Set up the equation as follows:
![150x = 100x + 200](https://img.qammunity.org/2019/formulas/mathematics/high-school/t6ge56czx8xrki57k3sk5oczupju43n0a0.png)
150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.
Subtract 100x from both sides.
![50x = 200](https://img.qammunity.org/2019/formulas/mathematics/high-school/kepdutjptgq1ai0vzt8al5xwh7ug3arvqx.png)
Divide both sides by 50.
![x = 4](https://img.qammunity.org/2019/formulas/mathematics/high-school/atvjgwdx0v4qkei0dce4beeina444xt06p.png)
It will take the dog 4 minutes to catch up with the squirrel.