A boat travels 60 km downstream in 4 hours. If the speed of the stream is 5 km/h

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Question: A boat travels 60 km downstream in 4 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 20 km/h

Solution:

Speed downstream = 60 km / 4 h = 15 km/h. Speed of boat = Speed downstream - Speed of stream = 15 - 5 = 10 km/h.

A boat travels 60 km downstream in 4 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?

A boat travels 60 km downstream in 4 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?

Step 1: Calculate the speed downstream by dividing the distance traveled by the time taken. The boat travels 60 km in 4 hours, so speed downstream = 60 km / 4 h.
Step 2: Perform the division: 60 km / 4 h = 15 km/h. This is the speed of the boat when going downstream.
Step 3: Identify the speed of the stream, which is given as 5 km/h.
Step 4: 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 stream.
Step 5: Perform the subtraction: 15 km/h - 5 km/h = 10 km/h. This is the speed of the boat in still water.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when traveling downstream and upstream.
Speed Calculation – Calculating speed using distance and time, and applying the formula for speed in still water.