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

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

Options:

Correct Answer: 12 km/h

Solution:

Speed downstream = 48 / 4 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 4 = 8 km/h.

A boat can travel 48 km downstream in 4 hours. If the speed of the stream is 4 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 4 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 distance is 48 km and the time is 4 hours. So, speed downstream = 48 km / 4 hours.
Step 2: Perform the division: 48 / 4 = 12 km/h. This is the speed of the boat when going downstream.
Step 3: Identify the speed of the stream, which is given as 4 km/h.
Step 4: 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.
Step 5: Perform the subtraction: 12 km/h - 4 km/h = 8 km/h. This is the speed of the boat in still water.

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.