Multiple choice

A bus left Delhi for Ambala at $50\ km/hr$ and returned over the same route at $40\ km/hr$. Thus it took $1$ hour more on the return trip. The distance between Delhi and Ambala is

  1. $200\ km$
  2. $180\ km$
  3. $400\ km$

  4. None of these
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A Correct answer
Explanation

Let the distance be D. Time taken for the first trip is D/50 and for the return is D/40. Given D/40 - D/50 = 1, we find (5D - 4D)/200 = 1, so D = 200 km.

AI explanation

Let the distance between Delhi and Ambala be D kilometers. Using the formula Time = Distance / Speed, the difference in travel times gives the equation (D / 40) - (D / 50) = 1. Solving this equation yields D/200 = 1, so the distance is 200 km.

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