It takes a boat 2 hrs to travel 16 miles down stream. The same boat takes 4 hrs for the return trip.?

Whats the speed of the water?

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  • Julian
    Lv 6
    8 years ago
    Favorite Answer

    v = speed of the boat

    c = speed ot the water (current)

    (v+c)*2 = 16 => v+c = 8

    (v-c)*4 = 16 => v-c = 4

    -------------

    2c = 8-4 = 4

    c = 2

    answer : speed of the water = 2mph

  • Anonymous
    8 years ago

    The speed of the boat + the river is its speed downstream, so

    speed = distance/time

    = 16/2

    = 8 m/hr

    The speed of the boat - the river is its speed upstream, as the water is travelling the opposite direction to the boat, so

    speed = 16/4

    = 4 m/hr

    let the speed of the boat = b, and the speed of the water = w

    b + w = 8

    b - w = 4

    add the two equations together to get

    2b = 12

    b = 6

    Substitute into one of the above equations

    6 + w = 8

    w = 2 miles/hour

  • 8 years ago

    S=vxt so v=s/t.

    S= 16 miles

    t= 4 hrs

    v= ?

    v= 16/4 = 4 miles per hour.

    That should be the correct answer.

    v = speed

    S= distance travelled

    t= time

    Whoops, used the Dutch formula, I believe the English formula is D=Rxt or something like that.

    So S= D, v=R and t stays t. Sorry!

    Source(s): Physics
  • 4 years ago

    formula of velocity: v=d/t, the place V is velocity, D is distance and T is time. appearing some rearranging we get that t=d/v In equation under v is velocity of the boat and r is the fee of the flow 40 8/(v+r)=3 40 8/(v-r)=12 fixing that equation we get that r=6

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