A boat travels 30 km downstream in 2 hours. What is the speed of the boat in sti

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Question: A boat travels 30 km downstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 5 km/h?

Options:

Correct Answer: 15 km/h

Solution:

Speed downstream = distance/time = 30/2 = 15 km/h. Speed of boat in still water = speed downstream - speed of current = 15 - 5 = 10 km/h.

A boat travels 30 km downstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 5 km/h?

A boat travels 30 km downstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 5 km/h?

Correct Answer: 10 km/h

Step 1: Identify the distance the boat travels downstream, which is 30 km.
Step 2: Identify the time it takes to travel that distance, which is 2 hours.
Step 3: Calculate the speed downstream using the formula: speed = distance / time. So, speed downstream = 30 km / 2 hours = 15 km/h.
Step 4: Identify the speed of the current, which is given as 5 km/h.
Step 5: To find the speed of the boat in still water, subtract the speed of the current from the speed downstream. So, speed of the boat in still water = 15 km/h - 5 km/h = 10 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.
Basic Algebra – Using algebra to isolate variables and solve for the speed of the boat in still water.