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If the speed of a boat in still water i...

If the speed of a boat in still water is u km/h and the speed of the stream is v km/h , then the speed of the boat upstream is ____km/h

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To find the speed of the boat upstream when the speed of the boat in still water is \( u \) km/h and the speed of the stream is \( v \) km/h, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Direction of Movement**: - When the boat is moving upstream, it is going against the current of the stream. 2. **Identify the Speeds**: - Speed of the boat in still water = \( u \) km/h - Speed of the stream = \( v \) km/h 3. **Calculate the Effective Speed Upstream**: - When moving upstream, the speed of the stream reduces the effective speed of the boat. Therefore, we need to subtract the speed of the stream from the speed of the boat in still water. - The formula for the speed of the boat upstream is: \[ \text{Speed upstream} = u - v \] 4. **Conclusion**: - Thus, the speed of the boat upstream is \( (u - v) \) km/h. ### Final Answer: The speed of the boat upstream is \( (u - v) \) km/h. ---
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Knowledge Check

  • The speed of a boat in still water is 14 km/h and the speed of stream is 3 km/h. Find the upstream speed.

    A
    12 kmph
    B
    13 kmph
    C
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  • When the speed of a boat in still water is 4 km/h and the rate of stream is 2 km/h, find upstream speed of the boat

    A
    6 km/h
    B
    5 km/h
    C
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    D
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  • The speed of a boat downstream is 15 km/hr and the speed of the stream is 1.5 km/hr. The speed of the boat upstream is -----

    A
    13.5 km/hr
    B
    16.5 km/hr
    C
    12 km/hr
    D
    8.25 km/hr

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