understand me upstream downstream sums and relative speed sums maths
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Step-by-step explanation:
Understand me upstream downstream sums and relative speed sums maths
UPstream Means - going against stream
Means Boat is moving against Water
So net speed of Boat = Boat Speed in Still water - Stream (water) Speed
Hence in case of upstream net speed of boat will be lesser and more time will be taken by boat for same distance
Boat speed > Stream speed ( other wise boat would not be able to move further)
Downstream Means : going with the flow of stream
Means Boat is moving in the same direction as Water
So net speed of Boat = Boat Speed in Still water + Stream (water) Speed
Hence in case of Downstream net speed of boat will be more and less time will be taken by boat for same distance
E.g :
A boat takes 2 hr in upstream & 1 hr in down stream
Please find stream speed & Boat Speed ration
Let say Boat speed = B km/Hr
Stream speed = kB km/Hr
Distance = D Km
Time in upstream = D/(B - kB) = 2
Time in Downstream = D/(B + kB) = 1
(D/(B - kB) )/ (D/(B + kB)) = 2/1
=> 1 + k = 2 ( 1 - K)
=> 1 + k = 2 - 2k
=> 3k = 1
=> k = 1/3
Stream speed = B/3 = 1/3rd of Boat Speed