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If a boat can travel 40 km upstream in 4 hours, and the speed of the current is

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Question: If a boat can travel 40 km upstream in 4 hours, and the speed of the current is 2 km/h, what is the speed of the boat in still water?

Options:

  1. 8 km/h
  2. 10 km/h
  3. 12 km/h
  4. 14 km/h

Correct Answer: 10 km/h

Solution:

Speed upstream = Distance/Time = 40 km / 4 h = 10 km/h. Speed of boat in still water = Speed upstream + Speed of current = 10 km/h + 2 km/h = 12 km/h.

If a boat can travel 40 km upstream in 4 hours, and the speed of the current is

Practice Questions

Q1
If a boat can travel 40 km upstream in 4 hours, and the speed of the current is 2 km/h, what is the speed of the boat in still water?
  1. 8 km/h
  2. 10 km/h
  3. 12 km/h
  4. 14 km/h

Questions & Step-by-Step Solutions

If a boat can travel 40 km upstream in 4 hours, and the speed of the current is 2 km/h, what is the speed of the boat in still water?
  • Step 1: Identify the distance traveled upstream, which is 40 km.
  • Step 2: Identify the time taken to travel that distance, which is 4 hours.
  • Step 3: Calculate the speed upstream using the formula: Speed = Distance / Time.
  • Step 4: Substitute the values: Speed upstream = 40 km / 4 h = 10 km/h.
  • Step 5: Identify the speed of the current, which is 2 km/h.
  • Step 6: Calculate the speed of the boat in still water by adding the speed upstream and the speed of the current: Speed of boat in still water = 10 km/h + 2 km/h.
  • Step 7: Perform the addition: 10 km/h + 2 km/h = 12 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current when traveling upstream or downstream.
  • Speed Calculation – Calculating speed using the formula Speed = Distance / Time.
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