A steamer goes upstream from one port to another in 6 hours. It covers the same distance downstream in 5 hours. If the speed of the stream is 2 km/h, find the speed of the steamer in still water.
please answer it fast and correctly
Answers
I Think it is a Right Answer.
Answer:
26 km/hr
Step-by-step explanation:
Let the speed of the streamer be x km/hr
Speed of Stream = 2 km/hr
It is given that while going downstream, the streamer takes 6 hours to cover the distance between two ports.
Speed of the streamer downstream = (x+2) km/hr
Distance Covered in 1 hour = (x+2) km
Distance covered in 6 hours =6(x+2) km
Distance between 2 ports = 6(x+2) km ....(i)
It is given that while going,upstream the streamer takes 7 hours to cover the distance.
Speed of Streamer Upstream = (x-2)km/hr
Distance covered in 1 hr = (x-2)
Distance covered in 7 hrs = 7(x-2) km
Distance between two ports in this case = 7(x-2) km ....(ii)
The distance between two ports is the same.
From (i) and (ii) we get,
6(x+2) = 7(x - 2)
6(x+2) = 7(x − 2)
6x +12= 7x - 14
-x=-26
x = 26
The speed of the streamer in still water = 26km/hr