A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 4 km/

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Question: A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 10 km/h

Solution:

Speed downstream = Distance / Time = 24 / 2 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 4 = 8 km/h.

A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 4 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 4 km/h, what is the speed of the boat in still water?

Step 1: Identify the distance the boat travels downstream, which is 24 km.
Step 2: Identify the time it takes for the boat to travel that distance, which is 2 hours.
Step 3: Calculate the speed of the boat downstream using the formula: Speed = Distance / Time. So, Speed downstream = 24 km / 2 hours = 12 km/h.
Step 4: Identify the speed of the stream, which is given as 4 km/h.
Step 5: To find the speed of the boat in still water, subtract the speed of the stream from the speed downstream. So, Speed of the boat = Speed downstream - Speed of the stream = 12 km/h - 4 km/h = 8 km/h.

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