Multiple choice

Asha travels equal distance with speed 6 km/hr, 8 km/hr and 10 km/hr and takes total time of 94 min. What is the total distance covered by Asha (in km)?

  1. 14 km

  2. 12 km

  3. 10 km

  4. 15 km

  5. 13 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let d be the distance for each leg. Time = d/6 + d/8 + d/10 = 94/60. (20d + 15d + 12d) / 120 = 47d / 120 = 94/60. 47d = 188, so d = 4. Total distance = 3d = 12 km.

AI explanation

Let the equal distance covered at each speed be d kilometers. Using the formula time equals distance divided by speed, the total time in hours is d/6 plus d/8 plus d/10. By finding a common denominator of 120, this becomes (20d + 15d + 12d)/120, which simplifies to 47d/120 hours. Since the total time is 94 minutes, or 47/30 hours, we equate 47d/120 to 47/30 to find that d equals 4 km. The total distance covered is three times this, or 3 multiplied by 4, which is 12 km.

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