A boat can travel 48 km downstream in 2 hours. What is the speed of the stream i

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Question: A boat can travel 48 km downstream in 2 hours. What is the speed of the stream if the speed of the boat in still water is 20 km/h?

Options:

Correct Answer: 8 km/h

Solution:

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

A boat can travel 48 km downstream in 2 hours. What is the speed of the stream if the speed of the boat in still water is 20 km/h?

A boat can travel 48 km downstream in 2 hours. What is the speed of the stream if the speed of the boat in still water is 20 km/h?

Step 1: Understand that the boat travels downstream, which means it is helped by the current of the stream.
Step 2: Calculate the speed of the boat when it is going downstream using the formula: Speed = Distance / Time.
Step 3: Plug in the values: Distance is 48 km and Time is 2 hours. So, Speed downstream = 48 km / 2 hours = 24 km/h.
Step 4: Know that the speed of the boat in still water is given as 20 km/h.
Step 5: To find the speed of the stream, subtract the speed of the boat in still water from the speed downstream: Speed of stream = Speed downstream - Speed of boat.
Step 6: Plug in the values: Speed of stream = 24 km/h - 20 km/h = 4 km/h.

Relative Speed – Understanding how the speed of a boat changes when moving downstream or upstream due to the influence of the stream.
Distance, Speed, and Time Relationship – Applying the formula Speed = Distance / Time to calculate speed in different scenarios.