Question

give me answer this question Class X cbse please dont spam keemti points hain​

Answer 1

Hello Mauryavanshi...

me too..

I am Aditya Maurya...

in 10th now.. preparing for boards...

just difference between us..

of board...you cbse ...I am ssc..

and..of name...too..

${\color{blue}{\bold{\boxed{\color{red}{\huge{\bold{↓↓your\: answer \:is \:here↓↓}}}}}}}$

Let,

[•] Speed of the boat in

still water = x km/hr.

And,

[•] Speed of the stream = y km/hr.

∴ Speed of the boat downstream

= (x + y) km/hr.

And, Speed of the boat upstream

= (x - y) km/hr.

According to the first condition,

$\bold{∴}$ $\bold{{\frac{24}{x + y}} + {\frac{16}{x - y}} = 6 -------[1] }$

According to the second conduction,

$\bold{∴}$ $\bold{{\frac{36}{x + y}} + {\frac{12}{x - y}} = 6 -------[2] }$

$\bold{Let, \: {\frac{1}{x\: + \:y}} \:= \:m\: and \:{\frac{1}{x \: - \: y}}\: =\: n}$

$\huge{\bold{∴}$ $\bold{\mathrm{The\: equations\: become,}$

$\mathrm{{\bold{{24m\:+\:16n\:=\:6} ------[3]}} }$

$\mathrm{{\bold{{36m\:+\:12n\:=\:6} ------[4]}} }$

$\mathrm{\bold{dividing \: both \: sides \: of \: the \: equation\: [3] \: by \: 2 \:, \: we \: get,}}$

$\mathrm{{\bold{{12m\:+\:8n\:=\:3} ------[5]}} }$

and,

$\mathrm{\bold{dividing \: both \: sides \: of \: the \: equation\: [4] \: by \: 3 \:, \: we \: get,}}$

$\mathrm{{\bold{{12m\:+\:4n\:=\:2} ------[6]}} }$

Subtracting Equation [6] from [5], we get,

$\mathrm{\bold{\:\:\:\:\:12m\:+\:8n\:=\:3}}$

$\mathrm{\bold{\: \: \: \: \: \: \: \:\:{\underline{\:^-\:12m\:+\:4n\:=\:2}}}}$

$\mathrm{\bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 4n\:=\:1}}$

$\mathrm{\bold{4n\:=\:1}}$

$\huge{\bold{∴}}$$\mathrm{\bold{n\:=\:{\frac{1}{4}}}}$

$\mathrm{\bold{Put\: n\:=\:{\frac{1}{4}}\: in\: equation\: [4]}}$

$\mathrm{\bold{36m\:+\:12n\:=\:6} }$

$\mathrm{\bold{36m\:+\:12({\frac{1}{4}})\:=\:6} }$

$\mathrm{\bold{36m\:+\:3\:=\:6}}$

$\mathrm{\bold{36m\:=\:6\:-\:3}}$

$\mathrm{\bold{36m\:=\:3}}$

$\mathrm{\bold{m\:=\:{\frac{3}{36}}}}$

$\mathrm{\bold{m\:=\:{\frac{1}{12}}}}$

aage ka khud kar lo please...

thank you

Answer 2

HOPE IT WILL HELP YOU

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