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 = 8 kmph

Statement (2): Speed of man in still water = 6 kmph

Show Hint

Time = distance / upstream speed. Statement 1 hands you the upstream speed directly; statement 2 lets you build it from still-water speed minus river speed.

Updated On: Jul 20, 2026
  • If the data in statement (1) alone is sufficient to answer the question, but the data in statement (2) alone is not sufficient.
  • If the data in statement (2) alone is sufficient to answer the question, but the data in statement (1) alone is not sufficient.
  • 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.
  • If the data in neither statement (1) nor statement (2) is sufficient to answer the question, and more data is needed.
Show Solution

The Correct Option is D

Solution and Explanation

The distance to cover is fixed at $11$ km, upstream, against a current of $5$ kmph. The only unknown is the effective ground speed while going upstream.

From statement (1), that ground speed (called the relative speed here) is stated outright as $8$ kmph, so time $=\frac{11}{8}$ hours $=1.375$ hours. One number in, one number out — sufficient on its own.

From statement (2), we're told the swimmer's still-water speed is $6$ kmph. Moving upstream means the river current of $5$ kmph subtracts from this, so the ground speed becomes $6-5=1$ kmph, and time $=\frac{11}{1}=11$ hours. Again a single well-defined answer — sufficient on its own.

Because both routes independently produce a specific travel time (even though the two numbers, 1.375 hours and 11 hours, are different from each other — sufficiency only needs each statement to answer the question by itself, not to agree with the other), the correct classification is option (4), either statement alone.

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