a steamer goes downstream and covers the distance between two ports in 4 hours while it cover the same distance upstream and 5 hours if the speed of the stream is 2 kilometre per hour find the speed of the stream and still water.
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Step-by-step explanation:
let the speed of the streamer in the still water be x km/hr.
speed of streamer while going downwards= (x+2) km/hr.
distance covered downstream =speed *time
=(x+2) *4 km.
speed of streamer while going upstream= (x-2) km/hr.
distance covered upstream =(x-2) *5 km.
according to given condition;
(x+2) *4=(x-2) *5
4x+8= 5x-10
4x-5x=-10-8
-x=-18
x=18
∴speed of streamer in still water is 18 km/hr.
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