CUET · MATHS · PYQ PAPER 2025
A boat can row at the speed of 16 km/hr in still water. If the river is flowing at 8 km/hr, and it takes 8 hours for a round trip, then the distance between the two places is :
- A 36 km
- B 32 km
- C 48 km
- D 54 km
Answer & Solution
Correct Answer
(C) 48 km
Step-by-step Solution
Detailed explanation
\(v_d = 16 + 8 = 24 \text{ km/hr}\) \(v_u = 16 - 8 = 8 \text{ km/hr}\) \(T = \frac{D}{v_d} + \frac{D}{v_u}\) \(8 = D(\frac{1}{24} + \frac{1}{8})\) \(8 = D(\frac{1+3}{24})\) \(8 = D(\frac{4}{24})\) \(8 = D(\frac{1}{6})\) \(D = 8 \times 6\) \(D = 48 \text{ km}\)
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