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Question
A Boat goes 24 km upstream and 20 km downstream in 6 hours ago 30 kilometre upstream and 21 km downstream in 6 and half hours find speed of boat in still water and also speed of stream?
A Boat goes 24 km upstream and 20 km downstream in 6 hours ago 30 kilometre upstream and 21 km downstream in 6 and half hours find speed of boat in still water and also speed of stream?
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Solution
If speed of the boat be x and stream speed be y
from the given question,
24/(x-y) + 0/(x+y) = 6
30/(x-y) + 21/(x+y) = 6.5
Taking 1/(x-y) as X and 1/(x+y) as Y
24X + 20Y = 6
30X + 21Y = 6.5
solving for X and Y==>
X = 1/24 and Y = 1/4
so x-y = 24 and x+y = 4
hence
x = 14 kmph and y = 10kmph
from the given question,
24/(x-y) + 0/(x+y) = 6
30/(x-y) + 21/(x+y) = 6.5
Taking 1/(x-y) as X and 1/(x+y) as Y
24X + 20Y = 6
30X + 21Y = 6.5
solving for X and Y==>
X = 1/24 and Y = 1/4
so x-y = 24 and x+y = 4
hence
x = 14 kmph and y = 10kmph
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