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CUET · MATHS · PYQ PAPER 2025

A fisherman is rowing a boat. He takes 6 hours to row 48 km upstream whereas he takes 3 hours to go to the same distance downstream.
Based on the above information, which of the following are correct?
(A) His speed of rowing in still water is 10 km/hour.
(B) The speed of the stream is 3 km/hour.
(C) The average speed of the fisherman is 32/3 km/hour.
(D) The speed of the stream is 4 km/hour.
Choose the correct answer from the options given below :

  1. A (A) and (D) only
  2. B (C) and (D) only
  3. C (A), (B) and (C) only
  4. D (A) and (C) only
Verified Solution

Answer & Solution

Correct Answer

(B) (C) and (D) only

Step-by-step Solution

Detailed explanation

\( \text{Upstream speed } (s-c) = \frac{48 \text{ km}}{6 \text{ hours}} = 8 \text{ km/hour} \) \( \text{Downstream speed } (s+c) = \frac{48 \text{ km}}{3 \text{ hours}} = 16 \text{ km/hour} \) \( s = \frac{(s-c)+(s+c)}{2} = \frac{8+16}{2} = 12 \text{ km/hour} \)…