A swimmer can swim at 4 km/h in still water. If he swims across a river that is

Practice Questions

Q1
A swimmer can swim at 4 km/h in still water. If he swims across a river that is 1 km wide and the current is 2 km/h, how long will it take him to reach the opposite bank?
  1. 15 minutes
  2. 30 minutes
  3. 45 minutes
  4. 1 hour

Questions & Step-by-Step Solutions

A swimmer can swim at 4 km/h in still water. If he swims across a river that is 1 km wide and the current is 2 km/h, how long will it take him to reach the opposite bank?
  • Step 1: Understand the problem. The swimmer is swimming across a river that is 1 km wide.
  • Step 2: Identify the swimmer's speed in still water, which is 4 km/h.
  • Step 3: Recognize that the current of the river is 2 km/h, but this does not affect the distance across the river.
  • Step 4: Calculate the time it takes to swim across the river using the formula: Time = Distance / Speed.
  • Step 5: Plug in the values: Distance = 1 km and Speed = 4 km/h.
  • Step 6: Calculate: Time = 1 km / 4 km/h = 0.25 hours.
  • Step 7: Convert 0.25 hours into minutes: 0.25 hours * 60 minutes/hour = 15 minutes.
  • Step 8: Conclude that it will take the swimmer 15 minutes to reach the opposite bank.
  • Relative Speed in Current – Understanding how to calculate effective speed when swimming across a river with a current.
  • Time Calculation – Using the formula time = distance/speed to find the time taken to cross the river.
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