A boat can go 10 km/h in still water. If the speed of the current is 2 km/h, how
Practice Questions
Q1
A boat can go 10 km/h in still water. If the speed of the current is 2 km/h, how long will it take to travel 50 km downstream?
2 hours
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5 hours
Questions & Step-by-Step Solutions
A boat can go 10 km/h in still water. If the speed of the current is 2 km/h, how long will it take to travel 50 km downstream?
Correct Answer: 4.17 hours
Step 1: Identify the speed of the boat in still water, which is 10 km/h.
Step 2: Identify the speed of the current, which is 2 km/h.
Step 3: Calculate the speed of the boat when going downstream by adding the speed of the boat and the speed of the current: 10 km/h + 2 km/h = 12 km/h.
Step 4: Identify the distance to be traveled downstream, which is 50 km.
Step 5: Use the formula for time, which is Time = Distance / Speed.
Step 6: Substitute the values into the formula: Time = 50 km / 12 km/h.
Step 7: Calculate the time: 50 divided by 12 equals approximately 4.17 hours.
Relative Speed – Understanding how to calculate the effective speed of a boat when considering the speed of the current.
Time Calculation – Using the formula Time = Distance / Speed to find the time taken for a journey.
