<image> A school is conducting a "Youth Science and Technology Innovation Competition". The "Pleasant Goat" team designed a model where a remote-controlled car moves in uniform linear motion along a straight track \(AC\). Car A and Car B start simultaneously from two points \(A\) and \(B\) respectively and move towards point \(C\) along the track. Point \(B\) is on \(AC\). The speed of Car A is 1.5 times the speed of Car B. Let \(t\) (minutes) represent the time after which the distances from Car A and Car B to point \(B\) are \(d_{1}\) and \(d_{2}\) respectively. The functional relationships between \(d_{1}, d_{2}\), and \(t\) are shown in the graph. Based on the graph, solve the following problems:
(1) Fill in the blank: The speed of Car B \(v_{2} =\) ______ meters/minute;
(2) Write the functional relationship between \(d_{1}\) and \(t\);
(3) If the signals between the two remote-controlled cars do not interfere with each other when the distance between them is more than 10 meters, determine the time interval during which the signals of the two cars will not interfere with each other.