A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr. then what is the speed of the steamer in upstream?
Answers
Answer:
Step-by-step explanation:
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