Multiple choice

If Anita walked a certain distance at 13 km/hr instead of 10 km/hr, she would walk 30 km more. The actual distance travelled by her is:

  1. 100 km

  2. 50 km

  3. 60 km

  4. 25 km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be D. Time at 10 km/hr is D/10, time at 13 km/hr is D/13. Given D/10 - D/13 = 30/60 (assuming 30 km more implies time difference, but the text says 'walk 30 km more' which is ambiguous). If it means distance difference at same time, it is unsolvable. If it means time difference is 30 mins, D/10 - D/13 = 0.5 => 3D/130 = 0.5 => D = 65/3 = 21.6. If it means she walks 30 km more in the same time, 13t - 10t = 30 => 3t = 30 => t = 10 hrs. Distance = 10 * 10 = 100 km.

AI explanation

Let the actual time be t hours, so the actual distance is 10t and the hypothetical distance is 13t. Since the difference in distance is 30 km, we can write the equation 13t minus 10t equals 30. Solving this gives 3t equals 30, meaning t is 10 hours, and multiplying this by the actual speed of 10 km/hr gives an actual distance of 100 km.

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