Question

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km
downstream in (6)1/2

hours. Find the speed of boat in still water and also the speed of the stream.
20​

Answer 1

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##ANSWER##↡↡↡↡↡↡↡↡↡↡↡↡↡↡↡↡↡↡

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