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A man can row 10 km/h in still water and...

A man can row 10 km/h in still water and the speed of stream is 5 kmph. Find the speed of man with water.

A

16 kmph

B

17 kmph

C

18 kmph

D

15 kmph

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the speed of a man rowing with the water (downstream), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Speed of the Man in Still Water**: The speed of the man in still water is given as 10 km/h. 2. **Identify the Speed of the Stream**: The speed of the stream is given as 5 km/h. 3. **Understand the Concept of Downstream Speed**: When a man rows downstream, his speed is the sum of his speed in still water and the speed of the stream. This is because both speeds work together in the same direction. 4. **Calculate the Speed of the Man with the Water**: To find the downstream speed (speed of the man with the water), we add the speed of the man in still water and the speed of the stream: \[ \text{Speed with water} = \text{Speed of man in still water} + \text{Speed of stream} \] \[ \text{Speed with water} = 10 \text{ km/h} + 5 \text{ km/h} = 15 \text{ km/h} \] 5. **Conclusion**: Therefore, the speed of the man rowing with the water (downstream) is 15 km/h. ### Final Answer: The speed of the man with water is **15 km/h**. ---
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