A commuter departs from outpost A at 5:00 AM at 25 km/h. Another starts from A at 7:00 AM at 35 km/h tracking along the same direction corridor. At what distance away from A will they intercept?
Explanation:
By 7:00 AM, the first commuter tracks for 2 hours, covering 25 * 2 = 50 km. Relative speed index = 35 - 25 = 10 km/h. Time to intercept = 50 / 10 = 5 hours. Distance path from point A = Speed of second commuter * Intercept Time = 35 * 5 = 175 km.
A train passes a standing person on a platform in 8 seconds and crosses the platform itself, which is 240 meters long, in 20 seconds. Find the length of the train.
Explanation:
Time taken to cross the platform distance alone = 20 - 8 = 12 seconds. Speed of the train = 240 / 12 = 20 m/s. Length of the train = Speed * Time to pass the person = 20 * 8 = 160 meters.
Two commuter trains 140 meters and 110 meters long are tracking in opposite directions at speeds of 40 km/h and 50 km/h respectively. In what time do they clear each other?
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