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A man swims across a river with speed of...

A man swims across a river with speed of ` 5 km h^(-1)` ( in still water). While a boat goes upstream with speed ` 12 km h^(-1)` ( in still water). How fast and in which direction does, the man appear to go to the boatman ? Given that the speed of flowing water is ` 2 km h^(-1)`

A

`13 kmh ^(-1) ` in a direction making angle ` tan^(-1) ((5)/(12))` with x-axis

B

`13 kmh^(-1)` in a direction making angle ` tan^(-1) ((5)/(12))` with y-axis

C

`13 kmh^(-1) ` in a direction making angle `tan^(-1) ((3)/(4))` with x-axis

D

` 13 kmh^(-1)` in a direction making angle ` tan^(-1) ((3)/(4))` with y-axis

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A boat which has a speed of 5 km h^(-1) in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km h^(-1) is

    A
    1
    B
    3
    C
    4
    D
    `sqrt41`

  • The river flows at 4 km/h. A boat can go downstream thrice as fast as upstream The speed of boat in still water is

    A
    12 km/h
    B
    16 km/h
    C
    8 km/h
    D
    10 km/h

  • A boat covers a distance of 14 km in 4 hours along the flow. What is the speed of the boat in still water, if the speed of the flow of water is 2 km/h?

    A
    2 km/hr
    B
    3 km/hr
    C
    2.5 km/hr
    D
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