A boat can go 10 km/h in still water. If the speed of the current is 2 km/h, how

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Question: 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?

Options:

Correct Answer: 4 hours

Solution:

Speed downstream = 10 + 2 = 12 km/h. Time = Distance/Speed = 50/12 = 4.17 hours.

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?

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.