they meet from the girl's original position at: 2.37 (meters)
Explanation:
We need to use the Newton's law, exactly the second law that relate force, mass and acceleration as: with this we can get both accelerations; solving for acceleration . Now and. Then knowing that they both travel at the same time and assuming that the distance among the girl and the sled is: 15.0-x, so, and, solving for the time we get: and with this equations we solving for the x that is the distance between the girl and the sled after the apply the force and we get:. Finally we get: and replacing the values we have got: so so x=2.37 (meters).