Answer:
C. Child A
Step-by-step explanation:
It is obvious that object with greater radius will experience a greater tangential speed, because due to greater radius, it will be covering more distance in a unit time.
As it is stated that child A is at greater distance from axis of rotation, so his radius will be more, so he would be having more tangential velocity as compared to child B.
Please note that, to calculate the tangential speed we must need the actual radii, but to guess which child would have more tangential speed, it is sufficient to know that one has a greater radius than other.