Posted by Anjali Kaur on Dec 09, 2021

# 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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