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Step-by-step explanation:
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The speed of boat=X
The speed of stream=Y
The upstream of boat=X-Y
The downstream of boat=X+Y
A boat goes 10km upstream and 22km downstream in 4 hours
- Formula used here to set equation
⟹10/X-Y+22/X+Y=4---------(1)
Let assume again X-Y=a X+Y=b
⟹10/a+22/b=4
⟹10b+22a=4ab
Given in the question again that now the boad goes 20km upstream and 33km downstream in 7 hours.
⟹20/X-Y+33/X+Y=7------(2)
⟹20/a+33/b=7
⟹20b+33a=7ab
Now, solving equations here multiple by 20 in 1 and 2nd by 10
⟹200b+440a=80ab
⟹200b+330a=70ab
Subtracting the equation we get ,here
⟹110a=10ab
⟹b=11
putting the value of b=11 in 10a+22b=4ab
⟹10×11+22a=44a
⟹110+22a=44a
⟹44a-22a=110
⟹22a=110
⟹a=5
Now a=X-Y and b=X+Y
⟹X-Y=5
⟹X+Y=11
⟹2X=16
⟹X=8
Putting the value of X =8
⟹X+Y=11
⟹8+Y=11
⟹Y=11-8
⟹Y=3
Hence,
The speed of boat=8km/h
The speed of stream=3km/h