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If a boat can travel 30 km upstream in 5 hours, what is the speed of the current
Practice Questions
Q1
If a boat can travel 30 km upstream in 5 hours, what is the speed of the current if the speed of the boat in still water is 8 km/h?
2 km/h
3 km/h
4 km/h
5 km/h
Questions & Step-by-Step Solutions
If a boat can travel 30 km upstream in 5 hours, what is the speed of the current if the speed of the boat in still water is 8 km/h?
Correct Answer: 2 km/h
Steps
Concepts
Step 1: Identify the distance traveled upstream, which is 30 km.
Step 2: Identify the time taken to travel upstream, which is 5 hours.
Step 3: Calculate the speed upstream using the formula: Speed = Distance / Time.
Step 4: Substitute the values: Speed upstream = 30 km / 5 h = 6 km/h.
Step 5: Identify the speed of the boat in still water, which is 8 km/h.
Step 6: Calculate the speed of the current using the formula: Speed of current = Speed of boat in still water - Speed upstream.
Step 7: Substitute the values: Speed of current = 8 km/h - 6 km/h = 2 km/h.
Relative Speed
– Understanding how the speed of a boat is affected by the current when traveling upstream.
Distance, Speed, and Time Relationship
– Applying the formula Distance = Speed × Time to calculate speed.
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