Answer:
Speed of boat x = 84 km/hr
Speed of current = 12 km/hr
Step-by-step explanation:
Let 'x' be the speed of boat and 'y' be the speed of still water
Upstream speed = x - y and
Downstream speed = x + y
It is given that, A motorboat travels 180 km in 3 hours going upstream and 504 in 6 hours going downstream
Upstream speed = x - y = 180/3 = 60 km/hr
Downstream speed = x + y = 504/6 = 84 km/hr
To find the value of x and y
x + y = 84 ----(1)
x - y = 60 ----(2)
(1) + (2) ⇒
x + y = 84 ----(1)
x - y = 60 ----(2)
2x + 0 = 144
x = 144/2 = 72
x + y = 84
y = 84 - 72 = 12
Therefore speed of boat x = 84 km/hr
Speed of current = 12 km/hr
