A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 2 km/

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Question: A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 12 km/h

Solution:

Speed downstream = Distance / Time = 24 / 2 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 2 = 10 km/h.

A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Step 1: Understand that the boat is moving downstream, which means it is helped by the speed of the stream.
Step 2: Calculate the speed of the boat when it is going downstream using the formula: Speed = Distance / Time.
Step 3: Plug in the values: Distance = 24 km and Time = 2 hours. So, Speed downstream = 24 km / 2 hours = 12 km/h.
Step 4: Know that the speed of the stream is given as 2 km/h.
Step 5: To find the speed of the boat in still water, subtract the speed of the stream from the speed downstream: Speed of boat = Speed downstream - Speed of stream.
Step 6: Plug in the values: Speed of boat = 12 km/h - 2 km/h = 10 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when moving downstream.
Distance, Speed, and Time Relationship – Applying the formula Speed = Distance / Time to calculate speed in different scenarios.