A boat travels 40 km downstream in 3 hours. If the speed of the current is 4 km/

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Question: A boat travels 40 km downstream in 3 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 14 km/h

Solution:

Speed downstream = 40 / 3 = 13.33 km/h. Speed in still water = Speed downstream - Speed of current = 13.33 - 4 = 9.33 km/h.

A boat travels 40 km downstream in 3 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

A boat travels 40 km downstream in 3 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

Step 1: Understand that the boat travels downstream, which means it is moving with the current.
Step 2: Calculate the speed of the boat downstream by dividing the distance traveled by the time taken. Here, the distance is 40 km and the time is 3 hours.
Step 3: Use the formula: Speed downstream = Distance / Time. So, Speed downstream = 40 km / 3 hours = 13.33 km/h.
Step 4: Know that the speed of the boat in still water is the speed downstream minus the speed of the current.
Step 5: The speed of the current is given as 4 km/h. So, Speed in still water = Speed downstream - Speed of current = 13.33 km/h - 4 km/h.
Step 6: Calculate the speed in still water: 13.33 km/h - 4 km/h = 9.33 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 distance and time, and applying the formula for speed in still water.