Answer:
The speed of motorboat in still water = 42.67 km / h
Explanation:
Let speed of motorboat = u
speed of current = v
Then upstream speed = u - v
Negative sign is due to that the current and motorboat directions are opposite.
And downstream speed = u + v
Distance traveled by motorboat in upstream = 96 km
Time taken = 3 hours
Then upstream speed (u - v) =
= 32 km / h ---------------- (1)
Distance traveled by motorboat in downstream = 160 km
Time taken = 3 hours
Downstream speed (u - v) =
km / h = 53.34 km / h -------------------------- (2)
By adding equations (1) & (2), we get
⇒ 2 u = 32 + 53.34
⇒ 2 u = 85.34
⇒ u = ![\frac{85.34}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B85.34%7D%7B2%7D)
⇒ u = 42.67 km / h
Thus the speed of motorboat in still water = 42.67 km / h