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.
Answer & explanation
Correct answer: option 4
\(\frac{39}{x - y}\) + \(\frac{116}{x + y}\) = 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