If a boat goes 30 km upstream in 6 hours, what is the speed of the current if th

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Question: If a boat goes 30 km upstream in 6 hours, what is the speed of the current if the speed of the boat in still water is 12 km/h?

Options:

Correct Answer: 3 km/h

Solution:

Speed upstream = Distance/Time = 30 km / 6 hours = 5 km/h. Speed of current = Speed in still water - Speed upstream = 12 km/h - 5 km/h = 7 km/h.

If a boat goes 30 km upstream in 6 hours, what is the speed of the current if the speed of the boat in still water is 12 km/h?

If a boat goes 30 km upstream in 6 hours, what is the speed of the current if the speed of the boat in still water is 12 km/h?

Step 1: Identify the distance the boat traveled upstream, which is 30 km.
Step 2: Identify the time it took to travel that distance, which is 6 hours.
Step 3: Calculate the speed of the boat while going upstream using the formula: Speed = Distance / Time.
Step 4: Plug in the values: Speed upstream = 30 km / 6 hours = 5 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 current using the formula: Speed of current = Speed in still water - Speed upstream.
Step 7: Plug in the values: Speed of current = 12 km/h - 5 km/h = 7 km/h.

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.
Difference in Speeds – Recognizing the relationship between the speed of the boat in still water, the speed of the current, and the effective speed when moving upstream.