A boat can travel 40 km downstream in 2 hours. If the speed of the stream is 8 k

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Question: A boat can travel 40 km downstream in 2 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 = 40 / 2 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 8 = 12 km/h.

A boat can travel 40 km downstream in 2 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 40 km downstream in 2 hours. If the speed of the stream is 8 km/h, what is the speed of the boat in still water?

Step 1: Calculate the speed downstream. The boat travels 40 km in 2 hours.
Step 2: Use the formula for speed: Speed = Distance / Time. So, Speed downstream = 40 km / 2 hours = 20 km/h.
Step 3: Identify the speed of the stream, which is given as 8 km/h.
Step 4: Use the relationship between the speed of the boat in still water, the speed downstream, and the speed of the stream. The formula is: Speed of boat = Speed downstream - Speed of stream.
Step 5: Substitute the values: Speed of boat = 20 km/h - 8 km/h.
Step 6: Calculate the speed of the boat: Speed of boat = 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.