A boat can travel 36 km downstream in 2 hours. If the speed of the stream is 6 k

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Question: A boat can travel 36 km downstream in 2 hours. If the speed of the stream is 6 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 18 km/h

Solution:

Speed downstream = 36 / 2 = 18 km/h. Speed of boat = Speed downstream - Speed of stream = 18 - 6 = 12 km/h.

A boat can travel 36 km downstream in 2 hours. If the speed of the stream is 6 km/h, what is the speed of the boat in still water?

A boat can travel 36 km downstream in 2 hours. If the speed of the stream is 6 km/h, what is the speed of the boat in still water?

Step 1: Calculate the speed downstream by dividing the distance traveled by the time taken. The boat travels 36 km in 2 hours, so speed downstream = 36 km / 2 hours = 18 km/h.
Step 2: Identify the speed of the stream, which is given as 6 km/h.
Step 3: To find the speed of the boat in still water, subtract the speed of the stream from the speed downstream. So, speed of the boat = speed downstream - speed of the stream = 18 km/h - 6 km/h.
Step 4: Calculate the result: 18 km/h - 6 km/h = 12 km/h. Therefore, the speed of the boat in still water is 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 applying the formula for speed in still water.