Multiple choice

5 hours after a goods train passed a station, another train travelling at a speed of 70 km/hr following that goods train, passed through that station. If after passing the station the train overtakes the goods train in 9 hours then what is the speed of the goods train?

  1. 45 km/hr

  2. 54 km/hr

  3. 67.5 km/hr

  4. 36 km/hr
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let speed of goods train be v. Goods train travels for 5 + 9 = 14 hours. Passenger train travels for 9 hours at 70 km/hr. Distance = 70 * 9 = 630 km. Goods train speed v = 630 / 14 = 45 km/hr.

AI explanation

When the second train passes the station, the goods train has a 5-hour head start and covers a distance of 5 times its speed. The relative speed of the faster second train to the goods train is 70 minus the goods train's speed, and it closes this gap in 9 hours, meaning 9 times 70 minus the goods train's speed equals the distance gap. This gives the equation 630 minus 9S equals 5S, so 14S equals 630, resulting in a speed of 45 km/hr for the goods train.

Keep practicing — related questions