A boat can travel at 12 km/h in still water. If it is moving downstream in a riv

Practice Questions

Q1
A boat can travel at 12 km/h in still water. If it is moving downstream in a river flowing at 4 km/h, what is the speed of the boat relative to the riverbank?
  1. 8 km/h
  2. 12 km/h
  3. 16 km/h
  4. 4 km/h

Questions & Step-by-Step Solutions

A boat can travel at 12 km/h in still water. If it is moving downstream in a river flowing at 4 km/h, what is the speed of the boat relative to the riverbank?
Correct Answer: 16 km/h
  • Step 1: Identify the speed of the boat in still water, which is 12 km/h.
  • Step 2: Identify the speed of the river current, which is 4 km/h.
  • Step 3: Understand that when the boat is moving downstream, its speed adds to the speed of the river.
  • Step 4: Calculate the total speed of the boat relative to the riverbank by adding the speed of the boat and the speed of the river: 12 km/h + 4 km/h.
  • Step 5: The result of the addition is 16 km/h, which is the speed of the boat relative to the riverbank.
  • Relative Speed – Understanding how to calculate the speed of an object in relation to another moving object.
  • Vector Addition – Applying the concept of adding speeds in the same direction to find the resultant speed.
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