Math, asked by pritamuday67, 10 months ago

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Answered by jhee1
0

Step-by-step explanation:

it is solved above and hope u find it helpful

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Answered by mddilshad11ab
87

\bold\green{\underline{Let:}}

The speed of boat=X

The speed of stream=Y

The upstream of boat=X-Y

The downstream of boat=X+Y

\bold\green{\underline{Given:}}

A boat goes 10km upstream and 22km downstream in 4 hours

  • Formula used here to set equation

\bold\purple{\boxed{Time=\frac{Distance}{Speed}}}

⟹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

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