If a boat takes 2 hours to go 24 km upstream, what is the speed of the current i

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Question: If a boat takes 2 hours to go 24 km upstream, what is the speed of the current if the speed of the boat in still water is 10 km/h?

Options:

2 km/h
4 km/h
6 km/h
8 km/h

Correct Answer: 4 km/h

Solution:

Speed upstream = Distance/Time = 24 km / 2 h = 12 km/h. Speed of current = Speed in still water - Speed upstream = 10 km/h - 12 km/h = -2 km/h (not possible).

If a boat takes 2 hours to go 24 km upstream, what is the speed of the current i

Practice Questions

If a boat takes 2 hours to go 24 km upstream, what is the speed of the current if the speed of the boat in still water is 10 km/h?

2 km/h
4 km/h
6 km/h
8 km/h

Questions & Step-by-Step Solutions

If a boat takes 2 hours to go 24 km upstream, what is the speed of the current if the speed of the boat in still water is 10 km/h?

Step 1: Understand that the boat's speed in still water is 10 km/h.
Step 2: Know that the boat takes 2 hours to travel 24 km upstream.
Step 3: Calculate the speed of the boat upstream using the formula: Speed = Distance / Time.
Step 4: Plug in the values: Speed upstream = 24 km / 2 h = 12 km/h.
Step 5: Recognize that the speed of the current affects the boat's speed upstream.
Step 6: Use the relationship: Speed upstream = Speed in still water - Speed of current.
Step 7: Substitute the known values: 12 km/h = 10 km/h - Speed of current.
Step 8: Rearrange the equation to find the speed of the current: Speed of current = 10 km/h - 12 km/h.
Step 9: Calculate the speed of the current: Speed of current = -2 km/h.
Step 10: Realize that a negative speed for the current is not possible, indicating an error in assumptions.

Relative Speed – Understanding how the speed of a boat is affected by the current when moving upstream or downstream.
Speed Calculation – Calculating speed using the formula Speed = Distance / Time.
Negative Speed Interpretation – Recognizing that a negative speed indicates an error in calculations or assumptions.

If a boat takes 2 hours to go 24 km upstream, what is the speed of the current i

What’s inside this PDF?

If a boat takes 2 hours to go 24 km upstream, what is the speed of the current i

Practice Questions

Questions & Step-by-Step Solutions

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