On a long horizontally moving belt (Fig.), a child runs to and from with a speed 9kmh^−1 (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of 4kmh^−1 . For an observer on a stationary platform outside, what is the (a) speed of the child running in the direction of motion of the belt ? (b) speed of the child running opposite to the direction of motion of the belt ? (c) time taken by the child in (a) and (b)