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If a river is 300 meters wide and the current flows at 2 m/s, how long will it t

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Question: If a river is 300 meters wide and the current flows at 2 m/s, how long will it take a swimmer to cross the river if he swims at a speed of 1 m/s perpendicular to the current?

Options:

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

Correct Answer: 150 seconds

Solution: 

Time to cross = Width / Speed across = 300 m / 1 m/s = 300 seconds.

If a river is 300 meters wide and the current flows at 2 m/s, how long will it t

Practice Questions

Q1
If a river is 300 meters wide and the current flows at 2 m/s, how long will it take a swimmer to cross the river if he swims at a speed of 1 m/s perpendicular to the current?
  1. 300 seconds
  2. 150 seconds
  3. 200 seconds
  4. 100 seconds

Questions & Step-by-Step Solutions

If a river is 300 meters wide and the current flows at 2 m/s, how long will it take a swimmer to cross the river if he swims at a speed of 1 m/s perpendicular to the current?
  • Step 1: Identify the width of the river, which is 300 meters.
  • Step 2: Identify the speed of the swimmer, which is 1 meter per second.
  • Step 3: Use the formula for time to cross the river: Time = Width / Speed.
  • Step 4: Plug in the values: Time = 300 meters / 1 meter per second.
  • Step 5: Calculate the time: 300 / 1 = 300 seconds.
  • Step 6: Conclude that it will take the swimmer 300 seconds to cross the river.
  • Relative Velocity – Understanding how the swimmer's speed interacts with the current's speed to determine the effective crossing time.
  • Distance and Time Relationship – Applying the formula time = distance / speed to calculate the time taken to cross the river.
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