A high-speed train clears a stationary post column signal mast in 8 seconds and clears across the full station platform itself, which measures 240 meters long, in 20 seconds. Find the speed index of the train in km/h.
Explanation:
Time taken to cross the platform span alone = 20 - 8 = 12 seconds. Speed of train = 240 / 12 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.
A motorboat tracks 48 km downstream in 3 hours and handles the same route upstream back to the origin line in 6 hours. Find the baseline speed of the boat hull in still water.
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