Q26. A motor boat covers a certain distance downstream in a river in 5 hours.
It covers the same distance upstream in 6 hours. The speed of water is 2km/hr.
find the speed of the boat in still water.
Answers
Answer:
Sir please gimme the distance
Solution :
Let us assume that the speed of the boat in still water is x km/hr.
The speed of water in the river is 2 km/hr.
The water in the river is always flowing in the direction ; so, when the boat is moving downstream the speed of the stream of water will assist and in other cases it will resist .
So,
Speed of the boat downstream : (x+2) km/hr
Speed of the boat upstream : (x-2) km/hr
Let it move for a certain distance d in both the directions .
T_downstream = 5 hrs
T_Upstream = 6 hr
Speed = Distance/Time
Distance = Speed * Time = Constant
> (x+2)*5 = (x-2)*6
> 5x + 10 = 6x - 12
>x = 22
Thus, the speed of the boat in still water is 22 km/hr.
This is the required answer.
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