Multiple choice

A man travels some distance at a speed of 15 km/hr and he returns at a speed of 6 km/hr. If the total time taken by the man is 14 hours, then what is the distance?

  1. 48 km

  2. 60 km

  3. 45 km

  4. 56 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. Time = D/15 + D/6 = 14. (2D + 5D)/30 = 14. 7D/30 = 14. D = 14 * 30 / 7 = 60 km.

AI explanation

Let the one-way distance be d kilometers. The time taken for the onward journey is d/15 hours and the return journey takes d/6 hours. The total time is 14 hours, so d/15 + d/6 = 14. Adding the fractions gives (2d + 5d) / 30 = 14, which simplifies to 7d / 30 = 14. Solving for d gives d = (14 * 30) / 7 = 60. The distance is 60 km.

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