A boat travels 50 km downstream in 2.5 hours. If the speed of the boat in still

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Question: A boat travels 50 km downstream in 2.5 hours. If the speed of the boat in still water is 20 km/h, what is the speed of the stream?

Options:

Correct Answer: 4 km/h

Solution:

Speed downstream = 50/2.5 = 20 km/h. Speed of the stream = speed downstream - speed of boat = 20 - 20 = 0 km/h.

A boat travels 50 km downstream in 2.5 hours. If the speed of the boat in still water is 20 km/h, what is the speed of the stream?

A boat travels 50 km downstream in 2.5 hours. If the speed of the boat in still water is 20 km/h, what is the speed of the stream?

Step 1: Understand that 'downstream' means the boat is moving with the current of the stream.
Step 2: Calculate the speed of the boat downstream. Use the formula: Speed = Distance / Time.
Step 3: Plug in the values: Speed downstream = 50 km / 2.5 hours.
Step 4: Calculate the speed downstream: 50 / 2.5 = 20 km/h.
Step 5: Know that the speed of the boat in still water is given as 20 km/h.
Step 6: Use the formula to find the speed of the stream: Speed of the stream = Speed downstream - Speed of the boat.
Step 7: Plug in the values: Speed of the stream = 20 km/h - 20 km/h.
Step 8: Calculate the speed of the stream: 20 - 20 = 0 km/h.

Relative Speed – Understanding how the speed of a boat in still water and the speed of the stream affect the overall speed downstream.
Speed Calculation – Calculating speed using distance and time, and applying the formula correctly.
Downstream vs. Still Water Speed – Differentiating between the speed of the boat in still water and the speed when moving downstream.