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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 :

  1. A 36 km
  2. B 32 km
  3. C 48 km
  4. D 54 km
Verified Solution

Answer & Solution

Correct Answer

(C) 48 km

Step-by-step Solution

Detailed explanation

Speed downstream: \(v_d = 16 + 8 = 24 \, km/hr\) Speed upstream: \(v_u = 16 - 8 = 8 \, km/hr\) \(T = \frac{D}{v_d} + \frac{D}{v_u}\) \(8 = \frac{D}{24} + \frac{D}{8}\) \(8 = D \left(\frac{1}{24} + \frac{3}{24}\right)\) \(8 = D \left(\frac{4}{24}\right)\)…