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.
Answer & explanation
Correct answer: option 3
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