To solve this problem, we need to understand the mechanics of how the pinions (circular objects) and racks (flat objects) interact when movement occurs. The question involves a gear train system with the following components:

1. Observation: Object A is a rack moving towards the right (→). This movement will cause the pinion it is engaged with (Object P) to rotate.
2. Direction of Rotation: As Object A moves to the right, Object P will rotate clockwise because they are in direct contact, and racks translate the rotational movement into linear and vice versa.
3. Effect on Adjacent Pinions: Object P, rotating clockwise, will drive Object Q. Due to gearing, Object Q will rotate in the opposite direction, which is anti-clockwise.
4. Effect on Object R: Since Object Q is rotating anti-clockwise, it will cause Object R to rotate clockwise (adjacent pinions move in opposite directions).
5. Effect on Rack B: Object R, rotating clockwise, will drive Rack B. As racks and pinions translate rotational movement into linear, the rack will move opposite to the rotation of the pinion. Therefore, Rack B will move towards the left (←).

Conclusion: Based on the chain of interactions, the correct statement is that Object B translates towards the left direction. This is supported by the mechanics of the gear system where adjacent pinions rotate in opposite directions, and the linear movement of racks is determined by the rotation of the pinions they engage with.