in 1 hour a boat travel 9 km in upsterm.it takes the same time to travel 15 km in downstream.find the speed of the strem
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Step-by-step explanation:
Let the speed of the boat in still water be x km/hr and that is the stream be y km/hr.
upstream= (x-y) km/hr
downstream= (x-y) km/hr
9/x+y = 1
x+y = 9 -------------(i)
15/x-y = 1
x-y = 15 -------------(ii)
(i) + (ii)
x+y = 9
x-y = 15
2x = 24 -------------- ÷2
x = 12 ------------(iii)
subsituting (iii) in (i)
12 + y = 9
y = 3
So , the speed of the boat in still water is
12 km/hr.
And the speed of stream is 3 km/hr.
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