CUET · MATHS · PYQ PAPER 2025
A man rows a boat such that it covers a distance upstream in twice the time taken by him to cover the same distance downstream. If the speed of stream is 5 km/h, the speed of boat in still water is:
- A 5 km/h
- B 10 km/h
- C 15 km/h
- D 25 km/h
Answer & Solution
Correct Answer
(C) 15 km/h
Step-by-step Solution
Detailed explanation
\( \frac{d}{v_b - v_s} = 2 \frac{d}{v_b + v_s} \) \( v_b + v_s = 2(v_b - v_s) \) \( v_b + v_s = 2v_b - 2v_s \) \( 3v_s = v_b \) \( v_b = 3 \times 5 \text{ km/h} \) \( v_b = 15 \text{ km/h} \)
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