A boat takes 2 hours to go 20 km downstream and returns in 4 hours. What is the

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Question: A boat takes 2 hours to go 20 km downstream and returns in 4 hours. What is the speed of the stream?

Options:

Correct Answer: 2 km/h

Solution:

Speed downstream = 20 / 2 = 10 km/h. Speed upstream = 20 / 4 = 5 km/h. Speed of stream = (10 - 5) / 2 = 2.5 km/h.

A boat takes 2 hours to go 20 km downstream and returns in 4 hours. What is the speed of the stream?

A boat takes 2 hours to go 20 km downstream and returns in 4 hours. What is the speed of the stream?

Step 1: Calculate the speed of the boat going downstream. The boat travels 20 km in 2 hours. Use the formula: Speed = Distance / Time. So, Speed downstream = 20 km / 2 hours = 10 km/h.
Step 2: Calculate the speed of the boat going upstream. The boat travels the same 20 km but takes 4 hours. Use the same formula: Speed upstream = 20 km / 4 hours = 5 km/h.
Step 3: Find the speed of the stream. The speed of the stream is the difference between the downstream speed and the upstream speed. So, Speed of stream = (Speed downstream - Speed upstream) / 2 = (10 km/h - 5 km/h) / 2 = 2.5 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the speed of the stream when traveling downstream and upstream.
Distance, Speed, Time Relationship – Applying the formula distance = speed × time to calculate speeds in different scenarios.