A boat can go 24 km downstream in 3 hours. If the speed of the boat in still wat

A boat can go 24 km downstream in 3 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?

A boat can go 24 km downstream in 3 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?

Correct Answer: 2 km/h

Step 1: Understand that 'downstream' means the boat is moving with the current.
Step 2: Calculate the speed of the boat downstream using the formula: Speed = Distance / Time.
Step 3: Plug in the values: Speed downstream = 24 km / 3 hours = 8 km/h.
Step 4: Know that the speed of the boat in still water is given as 10 km/h.
Step 5: To find the speed of the current, use the formula: Speed of current = Speed downstream - Speed of boat in still water.
Step 6: Substitute the values: Speed of current = 8 km/h - 10 km/h = -2 km/h.
Step 7: Realize that a negative speed for the current is not possible, indicating an error in assumptions or values.

Relative Speed – Understanding how the speed of a boat changes when moving downstream or upstream due to the influence of the current.
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.