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A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/
Practice Questions
Q1
A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
8 km/h
10 km/h
12 km/h
14 km/h
Questions & Step-by-Step Solutions
A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
Correct Answer: 8 km/h
Steps
Concepts
Step 1: Identify the distance traveled by the boat downstream, which is 20 km.
Step 2: Identify the time taken to travel that distance, which is 2 hours.
Step 3: Calculate the speed of the boat downstream using the formula: Speed = Distance / Time.
Step 4: Substitute the values: Speed downstream = 20 km / 2 h = 10 km/h.
Step 5: Identify the speed of the current, which is given as 2 km/h.
Step 6: Calculate the speed of the boat in still water by subtracting the speed of the current from the speed downstream.
Step 7: Substitute the values: Speed of boat in still water = 10 km/h - 2 km/h = 8 km/h.
Relative Speed
– Understanding how the speed of a boat is affected by the current when traveling downstream and upstream.
Speed Calculation
– Calculating speed using the formula: Speed = Distance / Time.
Speed of Current
– Recognizing the impact of the current's speed on the effective speed of the boat.
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