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If a boat can travel 50 km downstream in 2 hours, what is the speed of the curre

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Question: If a boat can travel 50 km downstream in 2 hours, what is the speed of the current if the speed of the boat in still water is 15 km/h?

Options:

  1. 5 km/h
  2. 10 km/h
  3. 15 km/h
  4. 20 km/h

Correct Answer: 5 km/h

Solution:

Speed downstream = Distance/Time = 50 km / 2 hours = 25 km/h. Speed of current = Speed downstream - Speed in still water = 25 km/h - 15 km/h = 10 km/h.

If a boat can travel 50 km downstream in 2 hours, what is the speed of the curre

Practice Questions

Q1
If a boat can travel 50 km downstream in 2 hours, what is the speed of the current if the speed of the boat in still water is 15 km/h?
  1. 5 km/h
  2. 10 km/h
  3. 15 km/h
  4. 20 km/h

Questions & Step-by-Step Solutions

If a boat can travel 50 km downstream in 2 hours, what is the speed of the current if the speed of the boat in still water is 15 km/h?
  • Step 1: Identify the distance traveled downstream, which is 50 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 = 50 km / 2 hours = 25 km/h.
  • Step 5: Identify the speed of the boat in still water, which is given as 15 km/h.
  • Step 6: Calculate the speed of the current using the formula: Speed of current = Speed downstream - Speed in still water.
  • Step 7: Substitute the values: Speed of current = 25 km/h - 15 km/h = 10 km/h.
  • Relative Speed – Understanding how the speed of a boat changes when moving downstream or upstream due to the influence of the current.
  • Speed Calculation – Calculating speed using the formula: Speed = Distance / Time.
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