a sailor goes 10 km downstream in 1 hr and return in 1 hr 40 min find the speed of the sailor in still water and speed of the current​

Question

a sailor goes 10 km downstream in 1 hr and return in 1 hr 40 min find the speed of the sailor in still water and speed of the current​

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Ayla 1 month 2021-08-16T16:55:36+00:00 1 Answer 0 views 0

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    2021-08-16T16:57:17+00:00

    Answer: If it’s correct then plzzz mark me as the Brainliest

    Step-by-step explanation: Let the speed of boat in still water=x km/hr

    The speed of current=y km/hr

    speed  of  boat  downstream=x+y


    ∵speed=  

    time

    distance

    ​  

     


    ⇒speed=  

    3

    2

    ​  

     

    8

    ​  

         [∵40min=  

    60

    40

    ​  

    hrs=  

    3

    2

    ​  

    ]


    ⇒x+y=  

    2

    8×3

    ​  

     


    ⇒x+y=12….(1)


    speed  of  boat  upstream=x−y

    ⇒speed=  

    1

    8

    ​  

    ⇒x−y=8….(2)

    Add (1) and (2)


    ⇒2x=20⇒x=10


    put x=10 in (1)


    ⇒10−y=8⇒y=2


    Hence, the speed of boat in still water=10km/hr

    The speed of current=2km/hr

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