Boats and Streams
Boats and Streams, applied mathematics, class XII.
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Speed of boat in still water = x Km/hr
Speed of stream = y Km/hr
Downstream speed, u = (x+y) Km/hr
Upstream speed, v = (x-y) Km/hr
Speed of boat;
Speed of stream;
If a boat covers a distance ‘d’ Km downstream in T1 hours and covers the same distance upstream in T2 hours; then
Average Speed = Total distance / Total Time = 2d/ (t1 + t2)
Average speed = {(x+y) (x -y)}/ x = Downstream speed x upstream speed/ speed in still water
Distance between 2 places; If a boat takes ’t’ hours to row to a certain place ‘d’ Km apart and returns back, then
D = {t(x+y) (x-y)} / 2x or = t (x square – y square) / 2x
If a boat takes ’t’ hours more in going upstream than downstream for covering the same distance, d then
Distance between 2 places,
Thank You!
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