Question : -
A steamer goes downstream and covers the distance between two Aports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream?
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Answered by
4
Answer:
Let the speed of the streamer in still water =x km/hr
the speed of the stream is 3 km/hr
Let the distance covered =d km
Speed downstream =x+3 km/hr
Time taken =5 hr
Distance=speed × time
d=5(x+3)
d=5x+15 (1)
Speed upstream =x−3 km/hr
Time taken =7 hr
Distance=speed × time
d=7(x−3)
d=7x−21 (2)
From (1) and (2),
7x−21=5x+15
7x−5x=15+21
2x=36
x=18 km/hr
Step-by-step explanation:
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Answered by
13
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
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