Question:easy

The speed of a river is 5 kmph. How long will it take to reach a point that is 11 km upstream?
Statement 1: Relative speed is 8 kmph
Statement 2: Speed of the man in still water is 6 kmph

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Upstream speed equals still-water speed minus river speed; each statement gives one of these speeds directly or indirectly.
Updated On: Jul 21, 2026
  • If the data in statement (1) alone is sufficient to answer the question
  • If the data in statement (2) alone is sufficient to answer the question
  • If the data in both the statements together are needed to answer the question
  • If either statement (1) alone or statement (2) alone is sufficient to answer the question
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The Correct Option is D

Solution and Explanation

Upstream speed always works out to the swimmer's or boat's speed in still water minus the speed of the current. Here the current's speed is fixed at 5 kmph and the distance to the point is fixed at 11 km, so all that is needed from each statement is one number that pins down the upstream speed.

  1. Statement (1): This hands over the relative (upstream) speed directly as 8 kmph. Time = 11 / 8 hours. Nothing more is needed, so this statement alone is complete.
  2. Statement (2): This gives the still-water speed as 6 kmph. Subtracting the current's speed, 6 - 5 = 1 kmph is the upstream speed, and time = 11 / 1 = 11 hours. Again a complete, standalone calculation.

Since both routes independently produce a definite travel time, using only statement (1) or only statement (2), neither statement needs the other.

Let's summarize:

  • Statement (1) supplies the relative speed straight away.
  • Statement (2) supplies the still-water speed, from which the relative speed follows by simple subtraction.

So either statement (1) alone or statement (2) alone is enough to answer the question.

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