If a boat goes 30 km upstream in 3 hours, what is the speed of the stream if the

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Question: If a boat goes 30 km upstream in 3 hours, what is the speed of the stream if the speed of the boat in still water is 12 km/h?

Options:

Correct Answer: 4 km/h

Solution:

Speed upstream = Distance / Time = 30 / 3 = 10 km/h. Speed of stream = Speed of boat - Speed upstream = 12 - 10 = 2 km/h.

If a boat goes 30 km upstream in 3 hours, what is the speed of the stream if the speed of the boat in still water is 12 km/h?

If a boat goes 30 km upstream in 3 hours, what is the speed of the stream if the speed of the boat in still water is 12 km/h?

Step 1: Identify the distance the boat travels upstream, which is 30 km.
Step 2: Identify the time it takes to travel that distance, which is 3 hours.
Step 3: Calculate the speed of the boat while going upstream using the formula: Speed = Distance / Time.
Step 4: Substitute the values into the formula: Speed upstream = 30 km / 3 hours = 10 km/h.
Step 5: Identify the speed of the boat in still water, which is given as 12 km/h.
Step 6: Calculate the speed of the stream by subtracting the speed upstream from the speed of the boat: Speed of stream = Speed of boat - Speed upstream.
Step 7: Substitute the values: Speed of stream = 12 km/h - 10 km/h = 2 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when moving upstream or downstream.
Distance, Speed, and Time Relationship – Applying the formula that relates distance, speed, and time to calculate speed in different conditions.