A Boat goes 24 km upstream and 28 km downstream in 6 hours It goes 30 km upstream and 21 km downstream in 6 and a half hours. Find the speed of the boat in still water and also speed of stream.
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if speed of the boat be x and stream speed be y
from the given question,
24/(x-y) + 28/(x+y) = 6
30/(x-y) + 21/(x+y) = 6.5
Taking 1/(x-y) as X and 1/(x+y) as Y
24X + 28Y = 6
30X + 21Y = 6.5
solving for X and Y==>
X = 1/6 and Y = 1/14
so x-y = 6 and x+y = 14
hence
x = 10 kmph and y = 4kmph
from the given question,
24/(x-y) + 28/(x+y) = 6
30/(x-y) + 21/(x+y) = 6.5
Taking 1/(x-y) as X and 1/(x+y) as Y
24X + 28Y = 6
30X + 21Y = 6.5
solving for X and Y==>
X = 1/6 and Y = 1/14
so x-y = 6 and x+y = 14
hence
x = 10 kmph and y = 4kmph
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