a boat goes 24 km upstream and 28 km downstream in 6 hours it goes 30km upstream and 21km downstream in 6 hrs and 30 min find the speed of stream
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sudharshini18
sudharshini18
18.06.2017
Math
Secondary School
+5 pts
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Aboat goes 24 km upstream and 28 km downstream
in 6 hours. It goes 30 km upstream and 21 km
downstream in 6 hours 30 minutes. Find the speed
of the boat in still water.
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YUVRAJ2230P
YUVRAJ2230P Ambitious
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
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