The speed of boat in still water is 6 km/hr more than the speed of current. If a boat takes total 8 hr to cover 44 km in downstream and 36 km in upstream, then find the speed of boat in still water.

14 km/hr

Let the speed of boat = U km/hr

           Speed of current = V km/hr

ATQ,  \(\frac{44}{U\;+\;V}\) + \(\frac{36}{U\;-\;V}\) = 8

⇒ Put U - V = 6 km/hr

⇒ \(\frac{44}{U\;+\;V}\) + \(\frac{36}{6}\) = 8

⇒ \(\frac{44}{U\;+\;V}\) = 2

⇒ U + V = 22

The speed of boat (V) = \(\frac{22\;+\;6}{2}\) = 14 km/hr