A boat takes total 07 hrs. to cover a distance of 39 km in upstream and 116 km in downstream. While it takes 8 hrs. to cover a distance of 65 km in upstream and 87 km in downstream. Find speed of the current.

8 km/hr

\(\frac{39}{x - y}\) + \(\frac{116}{x + y}\) = 7   ---(i)

\(\frac{65}{x - y}\) + \(\frac{87}{x + y}\) = 8   ---(ii)

(i) x 5 - (ii) x 3 

\(\frac{26}{x + y}\) = 2

x + y = 29

x - y = 13

x=21, y = 8