Floating boat

Classical Mechanics Level 2

Two boats \(A\) and \(B,\) connected with a string, are floating on a calm lake. The mass of \(A\) and \(B\) are \( 100 \text{ kg} \) and \( 150 \text{ kg}, \) respectively, and the distance between them is \( 25 \text{ m}. \) If the string is pulled from boat \(A\) with a constant force and the two boats meet in \( 20 \text{ seconds}, \) what is the distance that boat A moves?

Suppose that there is no friction whatsoever.