Question

. A boat travels 30km upstream and 15km down stream at a uniform speed in 7 hrs. The same boat with

same speed covered 15km upstream and 30km down stream in 5 hrs. Find speed of boat in still water​

Answer 1

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: Correct \: Question :- \: \star}}}}}$

The speed of boat in still water is 30km/h . a boat travels for 3 hrs downstream and then returns the same distance upstream in 5 hrs . find the speed of stream .

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

$\underline{\boxed{\textsf{S = {\textbf{8 km/hr}}}}} \qquad\qquad \bigg\lgroup\bold{Speed \ of \ the \ boat} \bigg\rgroup$

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

➹ Speed of Boat in still water = 15 km/Hr

✦ The boat's speed in still water is 30 km/h. A boat travels for 3 hours downstream and then returns the same distance upstream in 5 hours

$\Large{\underline{\underline{\bf{Find:-}}}}$

✦ Find the speed of boat in still water.

$\Large{\underline{\underline{\bf{Solution:-}}}}$

➹ Firstly,

we consider ,

speed of stream = S Km/Hr

As according to the given :-

On putting the given values in , we get

The boat's speed in still water is 30 km/h. A boat travels for 3 hours downstream and then returns the same distance upstream in 5 hours therefore, let the speed of the stream be x, Downstream speed =(x+2)km/h

Upstream speed =(x-2)km/h

ATQ - - -

3(x+2)=5(x-2)

3x+6=5x-10

-2x=16

x=8

The speed of the stream is 8km/h

$\Large{\boxed{\bf{\speed \: 8 km /hr \: \star}}}$

Additional Information :+;

★ What is Displacement ?

✾ The word displacement implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object.

★ How to calculate Displacement ?

✾ Displacement can be calculated by measuring the final distance away from a point, and then subtracting the initial distance. Displacement is key when determining velocity (which is also a vector). Velocity = displacement/time whereas speed is distance/time.

★ What is Velocity ?

✾ The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

Velocity defines the direction of the movement of the body or the object.

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