A streamer goes down stream in 9 hours it covers the same distance up stream in 10 hours if th
e speed of stream be 1 km/h find the speed of streamer in still water.
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Answer:Let the speed of the steamer in still water is x km/h and distance is d.
Then, speed of steamer downstream (u)= speed of steamer in still water+speed of stream=x+1
Speed of steamer upstream (v)=speed of steamer in still water-speed of stream=x−1
Distance covered by steamer upstream (d)=10(x−1) ..(1)
Distance covered by steamer downstream (d)=9(x+1) ..(2)
From equation (1) and (2),
10(x−1)=9(x+1)
10x−10=9x+9
10x−9x=9+10
x=19 km/h
Substituting this value in equation(1),
Distance(d)=10(19−1)=180km
Hence, the speed of the steamer in still water is 19km/h and the distance between the ports is 180km
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