In water, the direction along the stream is called downstream.
In water, the direction against the stream is called upstream.
Some important formulae:
a)Let the speed of a boat in still water be x km/hr and the speed of the stream be y km/hr, then
Speed downstream = (x + y) km/hr
Speed upstream = (x - y) km/hr.
b) Let the speed downstream be x km/hr and the speed upstream be y km/hr, then
Speed in still water =(1/2) × (x+y) km/hr
Rate of stream =(1/2) × (x-y) km/hr
c) Assume that a man can row at the speed of x km/hr in still water and he rows the same distance up and down in a stream which flows at a rate of y km/hr. Then his average speed throughout the journey
=(Speed downstream × Speed upstream) / Speed in still water
=[(x+y)(x−y)] / x km/hr
d) A man rows a certain distance downstream in t1 hours and returns the same distance upstream in t2 hours. If the speed of the stream is y km/hr, then the speed of the man in still water:
y × [(t2+t1 / t2−t1)] km/hr.
e) if the time taken by a boat or man is while moving upstream is double of what taken during downstream then the ratio between the speed of boat and the current will be 3:1.