To go a distance of 144 km upstream, a rower takes 12 hours while it takes her only 9 hours to row the same distance downstream. What is the speed of the stream? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. 3 km/h 
  2. 1 km/h 
  3. 1.5 km/h
  4. 2 km/h

Answer (Detailed Solution Below)

Option 4 : 2 km/h
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Detailed Solution

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Given:

Total distance = 144 km

Time taken by rower to go upstream = 12 hours

Time taken by rower to go downstream = 9 hours

Concept used:

Upstream speed = (U - V)

Downstream speed = (U + V)

Speed of stream = (Downstream - Upstream)/2 

Speed = distance/time

Calculation:

Upstream speed of rover = (U - V) = 144/12 = 12 km/h

Downstream speed of rover = (U + V) = 144/9 = 16 km/h

Speed of stream = (16 - 12)/2 = 4/2 = 2 km/h

∴ The correct answer is 2 km/h.

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