Multiple choice

With an average speed of 50 km/hr, a train reaches its destination in time. If it goes with an average speed of 40 km/hr, then it is late by 24 minutes. The total journey is

  1. 40 km

  2. 70 km

  3. 30 km

  4. 80 km

  5. 50 km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance be D. Time at 50 km/h is D/50. Time at 40 km/h is D/40. Difference is 24 min = 24/60 = 0.4 hours. D/40 - D/50 = 0.4. (5D - 4D)/200 = 0.4, so D = 80 km.

AI explanation

Let the correct time for the journey be t hours. Using the formula distance equals speed multiplied by time, we have two expressions for the distance: 50t and 40(t + 24/60). Setting them equal gives 50t = 40t + 16. Solving for t yields 10t = 16, meaning t = 1.6 hours. The total journey distance is 50 multiplied by 1.6, which is 80 km.

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