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A boat can travel 24 km upstream in 6 hours. If the speed of the stream is 2 km/

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Question: A boat can travel 24 km upstream in 6 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Options:

  1. 4 km/h
  2. 6 km/h
  3. 8 km/h
  4. 10 km/h

Correct Answer: 8 km/h

Solution:

Speed upstream = 24 / 6 = 4 km/h. Speed of boat = Speed upstream + Speed of stream = 4 + 2 = 6 km/h.

A boat can travel 24 km upstream in 6 hours. If the speed of the stream is 2 km/

Practice Questions

Q1
A boat can travel 24 km upstream in 6 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
  1. 4 km/h
  2. 6 km/h
  3. 8 km/h
  4. 10 km/h

Questions & Step-by-Step Solutions

A boat can travel 24 km upstream in 6 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
  • Step 1: Find the speed of the boat going upstream. To do this, divide the distance traveled upstream (24 km) by the time taken (6 hours). So, speed upstream = 24 km / 6 hours.
  • Step 2: Calculate the speed upstream. 24 km / 6 hours = 4 km/h.
  • Step 3: Identify the speed of the stream, which is given as 2 km/h.
  • Step 4: To find the speed of the boat in still water, add the speed of the stream (2 km/h) to the speed upstream (4 km/h).
  • Step 5: Calculate the speed of the boat in still water. Speed of boat = 4 km/h + 2 km/h = 6 km/h.
  • Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling upstream or downstream.
  • Speed Calculation – Calculating speed using distance and time, and applying the concept of relative speed to find the speed of the boat in still water.
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