A boat can travel 100 km downstream in 8 hours. If the speed of the stream is 3

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Question: A boat can travel 100 km downstream in 8 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 15 km/h

Solution:

Speed downstream = Distance / Time = 100 / 8 = 12.5 km/h. Speed of boat = Speed downstream - Speed of stream = 12.5 - 3 = 9.5 km/h.

A boat can travel 100 km downstream in 8 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

A boat can travel 100 km downstream in 8 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

Step 1: Understand that the boat travels downstream, which means it is helped by the speed of the stream.
Step 2: Calculate the speed of the boat downstream using the formula: Speed = Distance / Time.
Step 3: Plug in the values: Distance is 100 km and Time is 8 hours. So, Speed downstream = 100 km / 8 hours = 12.5 km/h.
Step 4: Know that the speed of the stream is given as 3 km/h.
Step 5: To find the speed of the boat in still water, subtract the speed of the stream from the speed downstream: Speed of boat = Speed downstream - Speed of stream.
Step 6: Plug in the values: Speed of boat = 12.5 km/h - 3 km/h = 9.5 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling downstream.
Distance, Speed, and Time Relationship – Applying the formula for speed as distance divided by time to find the effective speed of the boat.