A boat takes total 08 hrs. to cover a distance of 25 km in upstream and comes back 39 km in downstream. While it takes 10 hrs. to cover a distance of 30 km in upstream and comes back 52 km in downstream. Find speed of the boat in still water.
Answer & explanation
Correct answer: option 2
\(\frac{25}{x - y}\) + \(\frac{39}{x + y}\) = 8 ---(i)
\(\frac{30}{x - y}\) + \(\frac{52}{x + y}\) = 10 ---(ii)
(i) x 6 - (ii) x 5
\(\frac{26}{x + y}\) = 2
x + y = 13
x - y = 5
x=9, y = 4