Multiple choice

A train starts from station A and reaches station B 15 minutes late when it moves at a speed of 40 km/hr, and 24 minutes late when it moves at a speed of 30 km/hr. The distance between the two stations is

  1. 24 km

  2. 16 km

  3. 18 km

  4. 21 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let D be distance. Time = D/40 + 15/60 = D/30 + 24/60. D/30 - D/40 = 15/60 - 24/60 is incorrect; it should be D/30 - D/40 = 9/60. D/120 = 9/60, so D = 18 km.

AI explanation

Let the scheduled time be t hours; moving at 40 km/hr takes (t + 0.25) hours and moving at 30 km/hr takes (t + 0.4) hours. Because the distance remains constant, 40(t + 0.25) = 30(t + 0.4), which solves to t = 0.2 hours. The distance is therefore 40 * (0.2 + 0.25) = 18 km.

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