Question:

The speed of a boat in still water is 4 km/hr and the speed of current is 2 km/hr. If the time taken to reach a certain distance upstream is 9 hours, find the time it will take to go the same distance downstream.

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For upstream-downstream problems, use: \[ \text{Speed}_{\text{up}} = \text{Boat Speed} - \text{Current Speed} \] \[ \text{Speed}_{\text{down}} = \text{Boat Speed} + \text{Current Speed} \]
Updated On: Mar 7, 2025
  • 2 hrs
  • 2.5 hrs
  • 3.5 hrs
  • 3 hrs
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The Correct Option is D

Solution and Explanation

Speed upstream: \[ 4 - 2 = 2 \text{ km/hr} \] Let the distance be \( d \), so: \[ \frac{d}{2} = 9 \Rightarrow d = 18 \text{ km} \] Speed downstream: \[ 4 + 2 = 6 \text{ km/hr} \] Time downstream: \[ \frac{18}{6} = 3 \text{ hrs} \] Thus, the correct answer is 3 hrs.
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