A boat can travel 48 km downstream in 4 hours. If the speed of the stream is 6 k

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Question: A boat can travel 48 km downstream in 4 hours. If the speed of the stream is 6 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 14 km/h

Solution:

Speed downstream = 48 / 4 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 6 = 6 km/h.

A boat can travel 48 km downstream in 4 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 48 km downstream in 4 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 of the boat downstream. The boat travels 48 km in 4 hours.
Step 2: Use the formula for speed, which is distance divided by time. So, speed downstream = 48 km / 4 hours.
Step 3: Calculate the speed downstream: 48 / 4 = 12 km/h.
Step 4: Identify the speed of the stream, which is given as 6 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 = 12 km/h - 6 km/h.
Step 7: Final calculation: 12 - 6 = 6 km/h. Therefore, the speed of the boat in still water is 6 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.