Question

a Boat takes 6 hours to travel 16 kilometre upstream and 24 kilometre downstream and it takes 13 hours to travel 36 kilometre upstream and 48 kilometre downstream find the speed of the boat in still water and the speed of the stream​

Answer 1

let the speed I'm still water be x and in stream be y

speed = distance / TIME

time = distance / speed

for speed in upstream = [x-y]

for down stream = [x+y]

BY FIRST CONDITION

time = dist/speed

24/[x+y] + 15/[x-y] = 6 ......1

BY SECOND CONDITION

48/x+y + 36/x-y = 13 .....2

substitute x+y = m and x-y = n

therefore

24m + 15n = 6 ... 1

46m + 36n = 13 ....2

find value of m and n and resubstitute to get the value of x and y