A boat can travel 48 km downstream in 2 hours. If the speed of the stream is 4 k

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Question: A boat can travel 48 km downstream in 2 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 24 km/h

Solution:

Speed downstream = Distance / Time = 48 km / 2 h = 24 km/h. Speed of boat = Speed downstream - Speed of stream = 24 - 4 = 20 km/h.

A boat can travel 48 km downstream in 2 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 2 hours. If the speed of the stream is 4 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: Distance is 48 km and Time is 2 hours.
Step 4: Speed downstream = 48 km / 2 h = 24 km/h.
Step 5: Know that the speed of the stream is given as 4 km/h.
Step 6: To find the speed of the boat in still water, subtract the speed of the stream from the speed downstream.
Step 7: Speed of the boat = Speed downstream - Speed of stream = 24 km/h - 4 km/h.
Step 8: Calculate: 24 - 4 = 20 km/h.
Step 9: Conclude that the speed of the boat in still water is 20 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 the formula: Speed = Distance / Time.
Subtraction of Speeds – Determining the speed of the boat in still water by subtracting the speed of the stream from the downstream speed.