If a boat can travel 90 km upstream in 6 hours, what is the speed of the stream

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Question: If a boat can travel 90 km upstream in 6 hours, what is the speed of the stream if the speed of the boat in still water is 15 km/h?

Options:

Correct Answer: 5 km/h

Solution:

Speed upstream = Distance / Time = 90 / 6 = 15 km/h. Speed of stream = Speed of boat - Speed upstream = 15 - 15 = 0 km/h.

If a boat can travel 90 km upstream in 6 hours, what is the speed of the stream if the speed of the boat in still water is 15 km/h?

If a boat can travel 90 km upstream in 6 hours, what is the speed of the stream if the speed of the boat in still water is 15 km/h?

Step 1: Understand that the boat travels upstream, which means it is going against the current of the stream.
Step 2: Know that the speed of the boat in still water is given as 15 km/h.
Step 3: Calculate the speed of the boat when it is going upstream using the formula: Speed = Distance / Time.
Step 4: Plug in the values: Distance = 90 km and Time = 6 hours. So, Speed upstream = 90 km / 6 hours = 15 km/h.
Step 5: Now, we know the speed of the boat in still water is 15 km/h and the speed upstream is also 15 km/h.
Step 6: To find the speed of the stream, use the formula: Speed of stream = Speed of boat - Speed upstream.
Step 7: Substitute the values: Speed of stream = 15 km/h - 15 km/h = 0 km/h.
Step 8: Conclude that the speed of the stream is 0 km/h, meaning there is no current.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling upstream or downstream.
Speed Calculation – Calculating speed using the formula: Speed = Distance / Time.
Upstream and Downstream Dynamics – Differentiating between the speed of the boat in still water and the effective speed when moving against the current.