Question

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Answer 1

Explanation

]⇝Appropriate Question :-

A boat can move downwards at a speed of 16 km/ hour and upstream at a speed of 9km /per hour what is the speed of the stream and the speed of the boat in still water ?

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⇝Given :

Speed of boat in downstream = 16km/h

Speed of boat in upstream = 9km/h

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⇝To Find :-

speed of the stream = ?

Speed of boat in still water = ?

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⇝Solution :-

❒ Let :

Speed of stream be x.

Speed of boat in still water be y.

❒ Than :

Downstream :

${\rightarrowtail{\bf{x + y = 16}}}$

Upstream :

${\rightarrowtail{\bf{x - y = 9}}}$

❒ Solving Starts :

${:{\leadsto{\bf{(x + y) + (x - y) = 16 + 9}}}}$

${:{\leadsto{\bf{(x + y) + (x - y) = 25}}}}$

${:{\leadsto{\bf{(x + x) + (y - y) = 25}}}}$

${:{\leadsto{\bf{2x = 25}}}}$

${:{\leadsto{\bf{x = {\cancel\frac{25}{2} }}}}}$

${\blue{\dashrightarrow{\red{\underline{\bf{X = 12.5 }}}}}}$

❒ Than y :

${:{\leadsto{\bf{X + y = 16}}}}$

${:{\leadsto{\bf{12.5 + y = 16}}}}$

${:{\leadsto{\bf{ y = 16 - 12.5}}}}$

${\blue{\dashrightarrow{\red{\underline{\bf{y= 3.5 }}}}}}$

❒ Hence :

${\large{\purple{\underline{\red{\underline{\pink{\pmb{\mathfrak{Speed \: of \: stream = x = 12.5km/h}}}}}}}}}$

${\large{\purple{\underline{\red{\underline{\pink{\pmb{\mathfrak{Speed \: of \: boat \: in \: still \: water = x = 4.5km/h}}}}}}}}}$

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Answer 2

Answer:

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