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?
Practice Questions
1 question
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
Speed downstream = Distance/Time = 20 km / 2 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 2 km/h = 8 km/h.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution: Speed downstream = Distance/Time = 20 km / 2 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 2 km/h = 8 km/h.
Steps: 7
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.
