the speed of a boat along current is 10 km per hour. if the speed of the river current be 2 km per hour, what is the take to cover 80 km in still water?
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Given,
Speeds of a boat along the current and against the current are 12 km/hr and 6 km/hr respectively.
Downstream speed = 12km/hr
Upstream speed = 6km/hr
Speed of the current = ½ × (downstream speed - upstream speed)
Speed of the current = ½ × (12 - 6) = 6/2 = 3
∴ Speed of the current is 3km/hr.
or
The speed of boat in still water = u = 10 km/hr.
The speed of current = v = 2 km/hr
⇒ The downstream of boat = u + v = 12 km/hr
⇒ The upstream of boat = u - v = 10 - 2 = 8 km/hr
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