A boat travels 100 km downstream in 5 hours. If the speed of the current is 5 km

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Question: A boat travels 100 km downstream in 5 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 25 km/h

Solution:

Speed downstream = 100 km / 5 h = 20 km/h. Speed of boat in still water = Speed downstream - Speed of current = 20 km/h - 5 km/h = 15 km/h.

A boat travels 100 km downstream in 5 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

A boat travels 100 km downstream in 5 hours. If the speed of the current is 5 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 by the time: 100 km / 5 hours = 20 km/h.
Step 3: Know that the speed of the current is given as 5 km/h.
Step 4: To find the speed of the boat in still water, subtract the speed of the current from the speed downstream: 20 km/h - 5 km/h = 15 km/h.
Step 5: Conclude that the speed of the boat in still water is 15 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 concept of relative speed to find the speed in still water.