A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/

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Question: A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 20 km/h

Solution:

Speed downstream = Distance/Time = 30/2 = 15 km/h. Speed of boat = Speed downstream - Speed of current = 15 - 5 = 10 km/h.

A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

Correct Answer: 10 km/h

Step 1: Identify the distance traveled downstream, which is 30 km.
Step 2: Identify the time taken to travel that distance, which is 2 hours.
Step 3: Calculate the speed downstream using the formula: Speed = Distance / Time. So, Speed downstream = 30 km / 2 hours = 15 km/h.
Step 4: Identify the speed of the current, which is given as 5 km/h.
Step 5: To find the speed of the boat in still water, subtract the speed of the current from the speed downstream. So, Speed of the boat = Speed downstream - Speed of current = 15 km/h - 5 km/h = 10 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 the formula: Speed = Distance / Time.
Speed of Current – Recognizing the effect of the current's speed on the overall speed of the boat.