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A boat can travel 30 km upstream in 2 hours. What is the speed of the current if

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Question: A boat can travel 30 km upstream 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. 2.5 km/h
  2. 3 km/h
  3. 3.5 km/h
  4. 4 km/h

Correct Answer: 3 km/h

Solution:

Speed upstream = Speed of boat - Speed of current. Speed upstream = 30 km / 2 h = 15 km/h. Therefore, 15 km/h - Speed of current = 15 km/h, so Speed of current = 0 km/h.

A boat can travel 30 km upstream in 2 hours. What is the speed of the current if

Practice Questions

Q1
A boat can travel 30 km upstream in 2 hours. What is the speed of the current if the speed of the boat in still water is 15 km/h?
  1. 2.5 km/h
  2. 3 km/h
  3. 3.5 km/h
  4. 4 km/h

Questions & Step-by-Step Solutions

A boat can travel 30 km upstream 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: Understand that the boat travels upstream against the current.
  • Step 2: Know the speed of the boat in still water is 15 km/h.
  • Step 3: Calculate the speed of the boat when going upstream. The boat travels 30 km in 2 hours.
  • Step 4: Use the formula: Speed = Distance / Time. So, Speed upstream = 30 km / 2 h = 15 km/h.
  • Step 5: Set up the equation: Speed upstream = Speed of boat - Speed of current.
  • Step 6: Substitute the known values into the equation: 15 km/h = 15 km/h - Speed of current.
  • Step 7: Rearrange the equation to find the speed of the current: Speed of current = 15 km/h - 15 km/h.
  • Step 8: Calculate the speed of the current: Speed of current = 0 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current when traveling upstream.
  • Speed Calculation – Calculating speed using distance and time, and applying it to find the speed of the current.
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