If a boat can travel 40 km downstream in 2 hours, and the speed of the stream is

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Question: If a boat can travel 40 km downstream in 2 hours, and the speed of the stream is 5 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 the boat in still water = speed downstream - speed of stream = 20 - 5 = 15 km/h.

If a boat can travel 40 km downstream in 2 hours, and the speed of the stream is 5 km/h, what is the speed of the boat in still water?

If a boat can travel 40 km downstream in 2 hours, and the speed of the stream is 5 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. The boat travels 40 km in 2 hours.
Step 3: Use the formula for speed: Speed = Distance / Time. So, Speed downstream = 40 km / 2 hours = 20 km/h.
Step 4: Know that the speed of the stream is given as 5 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 in still water: Speed of the boat = Speed downstream - Speed of stream = 20 km/h - 5 km/h = 15 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling downstream.
Basic Arithmetic – Performing calculations to determine speed and distance.
Speed in Still Water – Calculating the speed of the boat in still water by adjusting for the speed of the stream.