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The question of minimum time and minimum distance in crossing a river.

A man crosses a river in a boat if he crosses the river in minimum time he take 10min with a drift 120metre if he crosses the river taking shortest path he takes 12.5min find the width of the river

Comments

  1. ans is 200 m.
    as for shortest time the drift is
    x =V(w)*t………V(w) is the velocity of water
    120 m = V(w)*10 s
    V(w)=12 m/s

    also x=[ V(w)*d ]/V(m)…..V(m) is velocity of man.
    therefore by solving d=10V(m)

    now for shortest path
    d={V(m) – V(w)}^1/2 * T
    substuting the values we will get d=200m

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