Multiple choice

A man can row 8 kmph instill water. If the speed of the current is 2 kmph, it takes 2 hours more into travel upstream than to travel downstream for the same distance. What is the distance?

  1. 25 km

  2. 45 km

  3. 50 km

  4. 30 km
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D Correct answer
Explanation

The upstream speed is 8 - 2 = 6 kmph, and the downstream speed is 8 + 2 = 10 kmph. If the distance is d, then d/6 - d/10 = 2, giving d = 30 km.

AI explanation

The man's downstream speed is 8 + 2 = 10 kmph, and his upstream speed is 8 - 2 = 6 kmph. Let the distance be d kilometers, so the time difference equation is d/6 - d/10 = 2 hours. Finding a common denominator of 30 yields (5d - 3d) / 30 = 2, which simplifies to 2d / 30 = 2. Solving for d gives d = 30 kilometers.

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