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A commuter train moves from station A to station D via stations B and C in that order. The distance from A to C via B is 70 km and that from B to D via C is 88 km. Between the stations A and B, the train travels at an average speed of 48 km/h and takes 15 minutes. Between the stations C and D, the average speed of the train is 45 km/h. Find:
(a) this distance from B to C.
(b) the time taken between C and D.
(c) If the train halts at B for 3 minutes and at C for 4 minutes and its average speed for the whole journey is 50 km/h, find its average speed between B and C.