A boat can travel 40 km downstream in 2 hours. If the speed of the stream is 5 k

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Question: A boat can travel 40 km downstream in 2 hours. If 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 = Distance / Time = 40 / 2 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 5 = 15 km/h.

A boat can travel 40 km downstream in 2 hours. If the speed of the stream is 5 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 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: Use the formula for speed, which is Speed = Distance / Time.
Step 3: Calculate the speed downstream: The boat travels 40 km in 2 hours, 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: Speed of boat = Speed downstream - Speed of stream = 20 km/h - 5 km/h.
Step 6: Calculate the speed of the boat: 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.
Distance, Speed, and Time Relationship – Applying the formula for speed as distance divided by time to find the speed downstream.