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A boat can go 15 km upstream in 3 hours. What is the speed of the boat in still
Practice Questions
Q1
A boat can go 15 km upstream in 3 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h?
4 km/h
5 km/h
6 km/h
7 km/h
Questions & Step-by-Step Solutions
A boat can go 15 km upstream in 3 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h?
Correct Answer: 8 km/h
Steps
Concepts
Step 1: Identify the distance traveled upstream, which is 15 km.
Step 2: Identify the time taken to travel upstream, which is 3 hours.
Step 3: Calculate the speed upstream using the formula: Speed = Distance / Time.
Step 4: Substitute the values: Speed upstream = 15 km / 3 h.
Step 5: Perform the calculation: 15 km / 3 h = 5 km/h.
Step 6: Identify the speed of the current, which is 3 km/h.
Step 7: Calculate the speed of the boat in still water using the formula: Speed of boat in still water = Speed upstream + Speed of current.
Step 8: Substitute the values: Speed of boat in still water = 5 km/h + 3 km/h.
Step 9: Perform the calculation: 5 km/h + 3 km/h = 8 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.
Addition of Speeds
– Combining the speed of the boat in still water with the speed of the current to find the effective speed.
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