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A boat can go 36 km downstream in 2 hours. If the speed of the current is 3 km/h

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Question: A boat can go 36 km downstream in 2 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?

Options:

  1. 15 km/h
  2. 18 km/h
  3. 21 km/h
  4. 24 km/h

Correct Answer: 18 km/h

Solution: 

Speed downstream = Distance/Time = 36 km / 2 h = 18 km/h. Speed of boat in still water = Speed downstream - Speed of current = 18 km/h - 3 km/h = 15 km/h.

A boat can go 36 km downstream in 2 hours. If the speed of the current is 3 km/h

Practice Questions

Q1
A boat can go 36 km downstream in 2 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?
  1. 15 km/h
  2. 18 km/h
  3. 21 km/h
  4. 24 km/h

Questions & Step-by-Step Solutions

A boat can go 36 km downstream in 2 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?
  • Step 1: Identify the distance traveled downstream, which is 36 km.
  • Step 2: Identify the time taken to travel that distance, which is 2 hours.
  • Step 3: Calculate the speed downstream using the formula: Speed = Distance / Time.
  • Step 4: Substitute the values: Speed downstream = 36 km / 2 h = 18 km/h.
  • Step 5: Identify the speed of the current, which is 3 km/h.
  • Step 6: Calculate the speed of the boat in still water using the formula: Speed of boat in still water = Speed downstream - Speed of current.
  • Step 7: Substitute the values: Speed of boat in still water = 18 km/h - 3 km/h = 15 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current when moving 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 overall speed of the boat.
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