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A boat can cover a distance of 48 km downstream in 3 hours. If the speed of the

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Question: A boat can cover a distance of 48 km downstream in 3 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?

Options:

  1. 12 km/h
  2. 16 km/h
  3. 20 km/h
  4. 24 km/h

Correct Answer: 16 km/h

Solution: 

Speed downstream = 48/3 = 16 km/h. Speed of the boat in still water = speed downstream - speed of stream = 16 - 4 = 12 km/h.

A boat can cover a distance of 48 km downstream in 3 hours. If the speed of the

Practice Questions

Q1
A boat can cover a distance of 48 km downstream in 3 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
  1. 12 km/h
  2. 16 km/h
  3. 20 km/h
  4. 24 km/h

Questions & Step-by-Step Solutions

A boat can cover a distance of 48 km downstream in 3 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
  • Step 1: Calculate the speed of the boat downstream. The distance covered is 48 km and the time taken is 3 hours. Use the formula: Speed = Distance / Time.
  • Step 2: Plug in the values: Speed downstream = 48 km / 3 hours = 16 km/h.
  • Step 3: Identify the speed of the stream, which is given as 4 km/h.
  • Step 4: To find the speed of the boat in still water, subtract the speed of the stream from the speed downstream. Use the formula: Speed of boat in still water = Speed downstream - Speed of stream.
  • Step 5: Plug in the values: Speed of boat in still water = 16 km/h - 4 km/h = 12 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when moving downstream.
  • Distance, Speed, and Time Relationship – Applying the formula distance = speed × time to calculate speed.
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