Question

A boat goes 24 km upstream and 28km downstream in 6hours.It goes 30km upstream and 21km downstream in 6 ½ hours. Find the speed of the boat in still water and also speed of the stream. Please answer

Answer 1

Answer:

if the boat be x and steam speed be y

from the given question

24/(x-y) + 28/(x+y) = 6

30/(x-y) + 21/(x+y) = 6.5

take 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 , Y = 1/14

so x-y = 6 and x+y = 14

hence

X = 10kmph and Y = 4kmph