1)Speed of boat in still water is 20 km/hr. If the speed of the stream is 8 km/hr, find its downstream and upstream speeds ?
Downstream Speed = u + v = 20 + 8 = 28 km/hr
Upstream Speed = u - v = 20 -8 = 12 km/hr
2) A man can row downstream at 24 km/hr and upstream at 16 km/hr. Find his speed in still water and the rate of the current.
Speed of the boat or swimmer in still water
= 1/2 * (Downstream Speed + Upstream Speed)
= 1/2 * (24+16)
= 20 km/hr
Speed of the current
= 1/2 * (Downstream Speed - Upstream Speed)
= 1/2 * (24-16)
= 4 km/hr
3) The speed of the boat in still water is 18 km/hr. It takes twice as long as to go upstream to a point as to return downstream to the starting point. What is the speed of the current?
Let speed of the current = x km/hr.
As per question,
Downstream Speed = 2*Upstream speed
18 + S = 2(18 - S)
S = 6 km/hr
4) A boat can travel with a speed of 15 km/hr in still water. If the speed of the stream is 9 km/hr, find the time taken by the boat to go 72 km downstream.
= (15 + 9) km/hr
= 24 km/hr.
Time taken to travel 68 km downstream
= 72/24 hrs
= 3 hrs.
5)In one hour, a boat goes 16 km/hr along the stream and 10 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Speed in still water = 1/2(16+10) kmph
= 13 kmph.