Begin by cooking the ramen noodles according to package instructions. Once cooked, drain and set aside.
In a large skillet, heat the sesame oil over medium heat. Add the minced garlic and grated ginger, and sauté for about 1 minute until fragrant.
Add the ground beef to the skillet, breaking it apart with a wooden spoon. Cook until browned, about 5-7 minutes. Season with salt and pepper as it cooks.
Stir in the sliced mushrooms and julienned carrots, cooking for an additional 3 minutes.
Pour in the beef broth, water, and soy sauce, bringing the mixture to a simmer. Allow it to cook for about 5 minutes so the flavors meld.
Add the cooked ramen noodles to the skillet, stirring gently to coat them in the broth.
Remove from heat and serve the ramen in bowls, garnished with chopped green onions. If desired, add a soft-boiled egg on top for extra richness.