Question:

A man rows 5 km/h in still water. Current speed = 1 km/h. It takes 3 h more upstream than downstream for same distance. Find the distance.

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Relative speed changes with current direction — subtract upstream, add downstream.
Updated On: Aug 11, 2025
  • 36 km
  • 24 km
  • 20 km
  • 32 km
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The Correct Option is A

Solution and Explanation

Upstream speed = \( 5 - 1 = 4 \) km/h Downstream speed = \( 5 + 1 = 6 \) km/h Let distance = \( D \) km. Time upstream = \( \frac{D}{4} \), Time downstream = \( \frac{D}{6} \) Given: \[ \frac{D}{4} - \frac{D}{6} = 3 \] \[ D \left( \frac{1}{4} - \frac{1}{6} \right) = 3 \] \[ D \left( \frac{3 - 2}{12} \right) = 3 \Rightarrow \frac{D}{12} = 3 \] \[ D = 36 \ \text{km} \]
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