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CUET · MATHS · PYQ PAPER 2025

A steamer can row at the speed of 16 km/hr in still water. If the river is flowing at 8 km/hr and it takes 12 hours for a round trip, then the distance between the two places is :

  1. A 48 km
  2. B 72 km
  3. C 96 km
  4. D 54 km
Verified Solution

Answer & Solution

Correct Answer

(B) 72 km

Step-by-step Solution

Detailed explanation

\(v_d = 16 + 8 = 24\) km/hr \(v_u = 16 - 8 = 8\) km/hr \(T = D/v_d + D/v_u\) \(12 = D/24 + D/8\) \(12 = D(1/24 + 3/24)\) \(12 = D(4/24)\) \(12 = D/6\) \(D = 12 \cdot 6 = 72\) km