A boat travels 100 km downstream in 10 hours. If the speed of the stream is 10 k

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Question: A boat travels 100 km downstream in 10 hours. If the speed of the stream is 10 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 20 km/h

Solution:

Speed downstream = 100 km / 10 h = 10 km/h. Speed of boat = Speed downstream - Speed of stream = 10 - 10 = 0 km/h.

A boat travels 100 km downstream in 10 hours. If the speed of the stream is 10 km/h, what is the speed of the boat in still water?

A boat travels 100 km downstream in 10 hours. If the speed of the stream is 10 km/h, what is the speed of the boat in still water?

Step 1: Understand that the boat travels downstream, which means it is moving with the current of the stream.
Step 2: Calculate the speed of the boat downstream. The boat travels 100 km in 10 hours.
Step 3: Use the formula for speed: Speed = Distance / Time. So, Speed downstream = 100 km / 10 h = 10 km/h.
Step 4: Know that the speed of the stream is given as 10 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: Calculate the speed of the boat: Speed of boat = Speed downstream - Speed of stream = 10 km/h - 10 km/h.
Step 7: The result is 0 km/h, which means the boat does not move in still water.

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