Multiple choice

Train A starts from city P to Q with a velocity of 40 kmph. Train B starts from P towards Q, 1 hour after A with a speed of 60 kmph. If both the trains reach Q simultaneously, what is the distance between P and Q?

  1. 80 km

  2. 120 km

  3. 150 km

  4. 180 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let t be the time taken by train A. Then train B takes t-1 hours. Since distance is constant, 40*t = 60*(t-1). Solving gives t = 3 hours. Distance = 40 * 3 = 120 km.

AI explanation

Let the distance between P and Q be D km. Train A takes D/40 hours to reach Q, while Train B takes D/60 hours. Since Train B starts 1 hour later and both reach simultaneously, the equation is D/40 - D/60 = 1. Solving this gives (3D - 2D)/120 = 1, so D equals 120 km.

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