A steamer goes downstream and covers the distance between two ports in 3 hours. It covers distance in 5 hours then it goes upstream if the stream flows at,3 km/hr , then find what is the speed of streamer upstream?
Answers
Hey mate Here is your answer
Let the speed of the streamer in still water be x km/hr
Speed of the stream=3 km/hr
It is given that while going downstream,the streamer takes 3 hours to cover the distance between two port.
Speed of the steamer downstream=(x+3) km/hr
Dustance covered in 1 hour=(x+3) km
Distance covered in 3 hr=3(x+3)km
Distance between two ports=(x+3) km
It is given that while going upstream,the streamer takes 5 hours to cover the distance.
Speed of the streamer upstream=(x-3) km /hr
Distance covered in 1 hr = (x-3)km
Distance covered in 5hr=5(x-3) km
Distance between two ports in this case =5(x-3) km
The distance between two ports is the same
From 1 and 2 ,we get,
3(x+3)=5(x-3)
3x+9=5x-15
3x-5x=-15-9
2x=24
x=12
The speed of streamer in still water=12 km/hr
HOPE THIS WILL HELP YOU
Answer:
Step-by-step explanation:
Let the distance between the two ports be x km.
Then, speed downstream = x/4
And speed upstream = x/5
Speed of the stream,
= [speed downstream - speed upstream] / 2
= (x/4 - x/5)/2
Or, (5x -4x)/40 = 2
Or, x/40 = 2
Thus, x = 80 km.
Distance between two ports = 80 km.