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A boat can travel 48 km downstream in 4 hours. What is the speed of the current

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Question: A boat can travel 48 km downstream in 4 hours. What is the speed of the current if the speed of the boat in still water is 10 km/h?

Options:

  1. 2 km/h
  2. 4 km/h
  3. 6 km/h
  4. 8 km/h

Correct Answer: 6 km/h

Solution: 

Speed downstream = Distance/Time = 48 km / 4 hours = 12 km/h. Speed of current = Speed downstream - Speed in still water = 12 km/h - 10 km/h = 2 km/h.

A boat can travel 48 km downstream in 4 hours. What is the speed of the current

Practice Questions

Q1
A boat can travel 48 km downstream in 4 hours. What is the speed of the current if the speed of the boat in still water is 10 km/h?
  1. 2 km/h
  2. 4 km/h
  3. 6 km/h
  4. 8 km/h

Questions & Step-by-Step Solutions

A boat can travel 48 km downstream in 4 hours. What is the speed of the current if the speed of the boat in still water is 10 km/h?
  • Step 1: Identify the distance traveled downstream, which is 48 km.
  • Step 2: Identify the time taken to travel that distance, which is 4 hours.
  • Step 3: Calculate the speed downstream using the formula: Speed = Distance / Time.
  • Step 4: Substitute the values: Speed downstream = 48 km / 4 hours = 12 km/h.
  • Step 5: Identify the speed of the boat in still water, which is given as 10 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 = 12 km/h - 10 km/h = 2 km/h.
  • Relative Speed – Understanding how the speed of a boat changes when moving downstream or upstream due to the influence of the current.
  • Distance, Speed, and Time Relationship – Applying the formula Distance = Speed × Time to calculate speed in different scenarios.
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