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A boat can travel 60 km downstream in 2 hours. If the speed of the current is 5

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Question: A boat can travel 60 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

Options:

  1. 25 km/h
  2. 30 km/h
  3. 35 km/h
  4. 40 km/h

Correct Answer: 30 km/h

Solution: 

Speed downstream = Distance / Time = 60 km / 2 hours = 30 km/h. Speed of boat in still water = Speed downstream - Speed of current = 30 km/h - 5 km/h = 25 km/h.

A boat can travel 60 km downstream in 2 hours. If the speed of the current is 5

Practice Questions

Q1
A boat can travel 60 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
  1. 25 km/h
  2. 30 km/h
  3. 35 km/h
  4. 40 km/h

Questions & Step-by-Step Solutions

A boat can travel 60 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
  • Step 1: Understand that the boat travels downstream, which means it is helped by the current of the water.
  • Step 2: Calculate the speed of the boat downstream using the formula: Speed = Distance / Time.
  • Step 3: Plug in the values: Distance = 60 km and Time = 2 hours. So, Speed downstream = 60 km / 2 hours = 30 km/h.
  • Step 4: Know that the speed of the current is given as 5 km/h.
  • Step 5: To find the speed of the boat in still water, subtract the speed of the current from the speed downstream.
  • Step 6: Calculate the speed of the boat in still water: Speed of boat in still water = Speed downstream - Speed of current = 30 km/h - 5 km/h.
  • Step 7: Final calculation gives you the speed of the boat in still water: 30 km/h - 5 km/h = 25 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.
  • Subtraction of Speeds – Determining the speed of the boat in still water by subtracting the speed of the current from the downstream speed.
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