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A boat takes 5 hours to travel 60 km upstream. If the speed of the stream is 2 k

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Question: A boat takes 5 hours to travel 60 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Options:

  1. 10 km/h
  2. 12 km/h
  3. 14 km/h
  4. 16 km/h

Correct Answer: 12 km/h

Solution:

Speed upstream = 60/5 = 12 km/h. Speed of the boat in still water = speed upstream + speed of stream = 12 + 2 = 14 km/h.

A boat takes 5 hours to travel 60 km upstream. If the speed of the stream is 2 k

Practice Questions

Q1
A boat takes 5 hours to travel 60 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
  1. 10 km/h
  2. 12 km/h
  3. 14 km/h
  4. 16 km/h

Questions & Step-by-Step Solutions

A boat takes 5 hours to travel 60 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
  • Step 1: Understand that the boat travels upstream, which means it is going against the current of the stream.
  • Step 2: The boat takes 5 hours to travel 60 km upstream.
  • Step 3: Calculate the speed of the boat while going upstream using the formula: Speed = Distance / Time.
  • Step 4: Plug in the values: Speed upstream = 60 km / 5 hours = 12 km/h.
  • Step 5: Know that the speed of the stream is given as 2 km/h.
  • Step 6: To find the speed of the boat in still water, add the speed of the stream to the speed upstream: Speed of the boat in still water = Speed upstream + Speed of stream.
  • Step 7: Calculate: Speed of the boat in still water = 12 km/h + 2 km/h = 14 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling upstream.
  • Speed Calculation – Calculating speed using distance and time, and applying it to find the speed in still water.
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