The current of a stream runs at the rate of 4 kmph. a boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?

Question: The current of a stream runs at the rate of 4 kmph. a boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?

Let the speed of the boat in still water be x km/hr. The speed of the boat downstream = (x + 4) km/hr The speed of the boat upstream = (x - 4) km/hr Since the boat travels 6 km downstream and 6 km upstream in 2 hours, we have:

6/(x+4) + 6/(x-4) = 2

Solving for x, we get x = 8 km/hr. Therefore, the speed of the boat in still water is 8 km/hr.

Here's the explanation:

• When the boat is traveling downstream, the current is helping the boat move forward, so the boat's speed is increased by 4 km/hr.
• When the boat is traveling upstream, the current is working against the boat, so the boat's speed is decreased by 4 km/hr.
• In the equation, 6/(x+4) represents the time it takes the boat to travel 6 km downstream and 6/(x-4) represents the time it takes the boat to travel 6 km upstream.
• Since the total time taken is 2 hours, we can set the two expressions equal to each other.
• Solving for x, we get x = 8 km/hr.

I hope this helps! Let me know if you have any other questions.

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