Multiple choice

If I walk at the rate of $5$ km/hr, I will be late by $7$ minutes, but if I walk at the rate of $6$ km/hr I will be early by $5$ minutes. The distance to be covered in km is

  1. $60$
  2. $12$
  3. $10$
  4. $6$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance be D. Time difference = 7 min + 5 min = 12 min = 1/5 hour. D/5 - D/6 = 1/5. D/30 = 1/5. D = 6 km.

AI explanation

Let the exact time to reach the destination be t hours. Since the distance is constant, 5 multiplied by (t plus 7/60) equals 6 multiplied by (t minus 5/60). Solving this equation yields an exact time of 47/60 hours. The distance is 5 multiplied by (47/60 plus 7/60), which equals 5 multiplied by 54/60, resulting in a distance of 6 km.

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