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A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/

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Question: A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

Options:

  1. 8 km/h
  2. 10 km/h
  3. 12 km/h
  4. 14 km/h

Correct Answer: 10 km/h

Solution: 

Speed downstream = Distance/Time = 20 km / 2 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 2 km/h = 8 km/h.

A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/

Practice Questions

Q1
A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
  1. 8 km/h
  2. 10 km/h
  3. 12 km/h
  4. 14 km/h

Questions & Step-by-Step Solutions

A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
Correct Answer: 8 km/h
  • Step 1: Identify the distance traveled by the boat downstream, which is 20 km.
  • Step 2: Identify the time taken to travel that distance, which is 2 hours.
  • Step 3: Calculate the speed of the boat downstream using the formula: Speed = Distance / Time.
  • Step 4: Substitute the values: Speed downstream = 20 km / 2 h = 10 km/h.
  • Step 5: Identify the speed of the current, which is given as 2 km/h.
  • Step 6: Calculate the speed of the boat in still water by subtracting the speed of the current from the speed downstream.
  • Step 7: Substitute the values: Speed of boat in still water = 10 km/h - 2 km/h = 8 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current when traveling downstream and upstream.
  • Speed Calculation – Calculating speed using the formula: Speed = Distance / Time.
  • Speed of Current – Recognizing the impact of the current's speed on the effective speed of the boat.
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