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If a boat can travel 50 km upstream in 5 hours, what is the speed of the stream

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Question: If a boat can travel 50 km upstream in 5 hours, what is the speed of the stream if the speed of the boat in still water is 10 km/h?

Options:

  1. 0 km/h
  2. 2 km/h
  3. 4 km/h
  4. 6 km/h

Correct Answer: 4 km/h

Solution:

Speed upstream = Distance / Time = 50 / 5 = 10 km/h. Speed of stream = Speed of boat - Speed upstream = 10 - 10 = 0 km/h.

If a boat can travel 50 km upstream in 5 hours, what is the speed of the stream

Practice Questions

Q1
If a boat can travel 50 km upstream in 5 hours, what is the speed of the stream if the speed of the boat in still water is 10 km/h?
  1. 0 km/h
  2. 2 km/h
  3. 4 km/h
  4. 6 km/h

Questions & Step-by-Step Solutions

If a boat can travel 50 km upstream in 5 hours, what is the speed of the stream if the speed of the boat in still water is 10 km/h?
  • Step 1: Understand that the boat travels upstream, which means it is going against the current of the stream.
  • Step 2: Know that the speed of the boat in still water is given as 10 km/h.
  • Step 3: Calculate the speed of the boat when it is going upstream using the formula: Speed = Distance / Time.
  • Step 4: Plug in the values: Distance = 50 km and Time = 5 hours. So, Speed upstream = 50 km / 5 hours = 10 km/h.
  • Step 5: Now, we know the speed of the boat in still water is 10 km/h and the speed upstream is also 10 km/h.
  • Step 6: To find the speed of the stream, use the formula: Speed of stream = Speed of boat - Speed upstream.
  • Step 7: Substitute the values: Speed of stream = 10 km/h - 10 km/h = 0 km/h.
  • Step 8: Conclude that the speed of the stream is 0 km/h, meaning there is no current.
  • Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling upstream.
  • Speed Calculation – Calculating speed using the formula: Speed = Distance / Time.
  • Stream Speed – Determining the speed of the stream by using the difference between the speed of the boat in still water and the speed upstream.
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