Multiple choice

If a student walks from his house to school at 5 km/hr, then he is late by 30 minutes. However, if he walks at 6 km/hr, then he is late by 5 minutes only. What is the distance of his school from his house?

  1. 42 km

  2. 27 km

  3. 30 km

  4. 12.5 km

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance = d km and scheduled time = t hours. At 5 km/hr, actual time = d/5 hours (late by 30 min = 0.5 hr). At 6 km/hr, actual time = d/6 hours (late by 5 min = 5/60 = 1/12 hr). Equating: d/5 - 0.5 = d/6 - 1/12. Solving: d/5 - d/6 = 0.5 - 1/12 = 5/12, so d/30 = 5/12, giving d = 12.5 km. Option D is correct.

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