A boat can travel 100 km downstream in 8 hours. If the speed of the current is 2

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Question: A boat can travel 100 km downstream in 8 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 12 km/h

Solution:

Speed downstream = 100 / 8 = 12.5 km/h. Speed in still water = Speed downstream - Speed of current = 12.5 - 2 = 10.5 km/h.

A boat can travel 100 km downstream in 8 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

A boat can travel 100 km downstream in 8 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

Step 1: Understand that the boat travels downstream, which means it is helped by the current.
Step 2: Calculate the speed of the boat downstream. The formula is: Speed = Distance / Time. Here, Distance = 100 km and Time = 8 hours.
Step 3: Plug in the values: Speed downstream = 100 km / 8 hours = 12.5 km/h.
Step 4: Know that the speed of the current is given as 2 km/h.
Step 5: To find the speed of the boat in still water, subtract the speed of the current from the speed downstream: Speed in still water = Speed downstream - Speed of current.
Step 6: Plug in the values: Speed in still water = 12.5 km/h - 2 km/h = 10.5 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 it to find the speed in still water.