Multiple choice

Two hours after a goods train passed a station, another train travelling at a speed of 63 km/hr following that goods train passed through that station. If after passing the station, the train overtakes the goods train in 7 hours, what is the speed of the goods train?

  1. 58.8 km/hr

  2. 73.5 km/hr

  3. 49 km/hr

  4. 39.2 km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the speed of the goods train be v. The goods train has a 2-hour head start. When the second train starts, the goods train has traveled 2v. The second train catches up in 7 hours. Relative speed is (63 - v). Distance covered by the second train in 7 hours is 63 * 7 = 441. The goods train traveled for 2 + 7 = 9 hours. So, 9v = 441, v = 49 km/hr.

AI explanation

Let the speed of the goods train be x km/hr. The second train travels for 7 hours after passing the station to overtake the goods train, covering a distance of 63 multiplied by 7, which equals 441 km. Because the goods train passed the station 2 hours before the second train, it has been travelling for 7 + 2 = 9 hours since passing the station. Equating the distances covered by both trains since the goods train passed the station gives 9x = 441. Solving for x yields a speed of 49 km/hr for the goods train.

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