A boat can travel 80 km downstream in 4 hours. If the speed of the stream is 8 k

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Question: A boat can travel 80 km downstream in 4 hours. If the speed of the stream is 8 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 20 km/h

Solution:

Speed downstream = 80 km / 4 h = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 8 = 12 km/h.

A boat can travel 80 km downstream in 4 hours. If the speed of the stream is 8 km/h, what is the speed of the boat in still water?

A boat can travel 80 km downstream in 4 hours. If the speed of the stream is 8 km/h, what is the speed of the boat in still water?

Step 1: Understand that 'downstream' means the boat is moving with the current of the stream.
Step 2: Calculate the speed of the boat downstream. Use the formula: Speed = Distance / Time.
Step 3: Plug in the values: Distance = 80 km and Time = 4 hours. So, Speed downstream = 80 km / 4 h = 20 km/h.
Step 4: Know that the speed of the stream is given as 8 km/h.
Step 5: To find the speed of the boat in still water, subtract the speed of the stream from the speed downstream.
Step 6: Use the formula: Speed of boat = Speed downstream - Speed of stream. So, Speed of boat = 20 km/h - 8 km/h = 12 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling downstream and upstream.
Speed Calculation – Calculating speed using distance and time, and differentiating between downstream and still water speeds.