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A river is 300 m wide. If a person swims across the river at a speed of 2 m/s an

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Question: A river is 300 m wide. If a person swims across the river at a speed of 2 m/s and the river flows at 1 m/s, how long will it take to cross the river? (2020)

Options:

  1. 150 s
  2. 100 s
  3. 200 s
  4. 300 s

Correct Answer: 100 s

Exam Year: 2020

Solution: 

Time = Distance / Speed. The effective speed across the river is 2 m/s. Time = 300 m / 2 m/s = 150 s.

A river is 300 m wide. If a person swims across the river at a speed of 2 m/s an

Practice Questions

Q1
A river is 300 m wide. If a person swims across the river at a speed of 2 m/s and the river flows at 1 m/s, how long will it take to cross the river? (2020)
  1. 150 s
  2. 100 s
  3. 200 s
  4. 300 s

Questions & Step-by-Step Solutions

A river is 300 m wide. If a person swims across the river at a speed of 2 m/s and the river flows at 1 m/s, how long will it take to cross the river? (2020)
  • Step 1: Identify the width of the river, which is 300 meters.
  • Step 2: Identify the swimming speed of the person, which is 2 meters per second.
  • Step 3: Understand that the river's flow speed (1 m/s) does not affect the time taken to swim across the width of the river directly.
  • Step 4: Use the formula for time, which is Time = Distance / Speed.
  • Step 5: Plug in the values: Distance is 300 meters and Speed is 2 meters per second.
  • Step 6: Calculate the time: Time = 300 m / 2 m/s = 150 seconds.
  • Relative Velocity – Understanding how to calculate effective speed when two velocities are involved (swimming speed and river current).
  • Distance and Time Relationship – Applying the formula Time = Distance / Speed to find the time taken to cross the river.
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