A boat can travel 30 km upstream in 2 hours. What is the speed of the boat in st

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Question: A boat can travel 30 km upstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h? (2020)

Options:

Correct Answer: 15 km/h

Exam Year: 2020

Solution:

Speed upstream = Speed of boat - Speed of current. Speed of boat = 30 km / 2 h + 3 km/h = 15 km/h.

A boat can travel 30 km upstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h? (2020)

A boat can travel 30 km upstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h? (2020)

Step 1: Understand that the boat travels upstream against the current.
Step 2: The boat travels 30 km in 2 hours. Calculate the speed upstream by dividing the distance by time: 30 km / 2 h = 15 km/h.
Step 3: Know that the speed of the boat upstream is equal to the speed of the boat in still water minus the speed of the current.
Step 4: The speed of the current is given as 3 km/h.
Step 5: Set up the equation: Speed upstream = Speed of boat - Speed of current. This means 15 km/h = Speed of boat - 3 km/h.
Step 6: Rearrange the equation to find the speed of the boat: Speed of boat = 15 km/h + 3 km/h.
Step 7: Calculate the speed of the boat: Speed of boat = 18 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current when traveling upstream.
Basic Algebra – Applying algebraic manipulation to solve for the speed of the boat in still water.