steamer goes downstream from one pole to another in 5 hours while it covers the same distance in 6 hours for upstream if the speed of the stream is 3 kilometre per hour find the speed of stream in still water
Answers
Answer:Let the speed of the streamer be ‘x’ and Distance be ‘D’
Given the speed of the stream is 1 km/hr.
Thus the downstream speed is given by ‘(x+1)’km/hr and the upstream speed is given by (x-1) km/hr.
Given that time taken to travel downstream is 9 hr
Therefore downstream distance = 9(x+1) …………..(Equation 1)
Again it is given that time taken to travel upstream is 10 hour.
Therefore upstream distance = 10(x-1) ……………(Equation 2)
Since distance is same in both cases, we equate the upstream distance and downstream distance.
9(x+1) = 10(x-1)
9x + 9 = 10x - 10
9 + 10=10x - 9x
x = 19
Now substituting the value of "x" in any of the equation 1 or 2, we get
D = 10(19-1) [Substituting the value of x in Equation 2]
D = 190-10 = 180
Thus the distance between two ports is 180 cm