Answer:
The distance between the point A to B 180 kilometres.
The streamer speed in still water is 19 kmph
Step-by-step explanation:
Let be the distance between the ports (in kilometres) be d
let the streamer speed in still water be s
Then speed equation for moving downstream
[tex]\frac{d}{9} = s + 1[/tex]------------------------(1)
The speed equation for moving upstream
[tex]\frac{d}{10} = s - 1[/tex]-------------------------(2)
On solving (1) and (2)
[tex]\frac{d}{9} -\frac{d}{10} = 2[/tex]
[tex]\frac{10d -9d}{90} = 2[/tex]
[tex]\frac{d}{90} = 2[/tex]
[tex]d = 90 \times 2[/tex]
d = 180
Thus the distance between the point A to B 180 kilometres.
Now from equation 1
[tex]\frac{180}{9} = s + 1[/tex]
20 = s + 1
20 -1 = s
19 = s
The streamer speed in still water is 19 kmph
