A boat can travel 24 km upstream in 3 hours. If the speed of the stream is 2 km/

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Question: A boat can travel 24 km upstream in 3 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 8 km/h

Solution:

Speed upstream = 24/3 = 8 km/h. Speed of the boat in still water = speed upstream + speed of stream = 8 + 2 = 10 km/h.

A boat can travel 24 km upstream in 3 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

A boat can travel 24 km upstream in 3 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Step 1: Find the speed of the boat going upstream. To do this, divide the distance traveled upstream by the time taken. The boat travels 24 km in 3 hours, so the speed upstream is 24 km / 3 hours = 8 km/h.
Step 2: Understand that the speed of the boat in still water is the speed of the boat going upstream plus the speed of the stream. The speed of the stream is given as 2 km/h.
Step 3: Add the speed upstream (8 km/h) to the speed of the stream (2 km/h). So, 8 km/h + 2 km/h = 10 km/h.
Step 4: Conclude that the speed of the boat in still water is 10 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling upstream.
Speed Calculation – Calculating speed using distance and time, and applying the concept of relative speed to find the speed in still water.