A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/

Practice Questions

Q1
A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
  1. 10 km/h
  2. 15 km/h
  3. 20 km/h
  4. 25 km/h

Questions & Step-by-Step Solutions

A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
Correct Answer: 10 km/h
  • Step 1: Identify the distance traveled downstream, which is 30 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. So, Speed downstream = 30 km / 2 hours = 15 km/h.
  • Step 4: Identify the speed of the current, which is given as 5 km/h.
  • Step 5: To find the speed of the boat in still water, subtract the speed of the current from the speed downstream. So, Speed of the boat = Speed downstream - Speed of current = 15 km/h - 5 km/h = 10 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current when traveling downstream and upstream.
  • Speed Calculation – Calculating speed using the formula: Speed = Distance / Time.
  • Speed of Current – Recognizing the effect of the current's speed on the overall speed of the boat.
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