Multiple choice

A man can row 5 km/h in still water.If the speed of the current is 1 km/hr, it takes 3 h more in upstream than in the downstream for the same distance.The distance is

  1. $36$ km
  2. $24$ km
  3. $20$ km
  4. $32$ km
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A Correct answer
Explanation

Let distance be d. Speed downstream = 5+1 = 6 km/h. Speed upstream = 5-1 = 4 km/h. Time difference: d/4 - d/6 = 3. (3d - 2d) / 12 = 3 => d = 36 km.

AI explanation

Using the formula for upstream and downstream speeds, the downstream speed is 5 plus 1 equaling 6 km/h, and the upstream speed is 5 minus 1 equaling 4 km/h. Applying the distance formula where distance equals the product of the speed difference and the time difference divided by the speed difference, we get 3 multiplied by 6 multiplied by 4 divided by 2. This simplifies to 72 divided by 2, resulting in 36 km. The distance is 36 km.

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