Question

solve this question plz. very urgent​

Answer 1

$\huge{\bold{\underline{\underline{....Answer....}}}}$

$\huge{\bold{\underline{Given:-}}}$

• Length of "AB" = 12 Km.
• Length of "BC" = 8 Km.
• Length of "CD" = 3 Km.
• Length of "DE" = 11 Km.
• Length of "AE" = 16Km.

$\huge{\bold{\underline{Explanation:-}}}$

The man starts at 8:00 am.

And reaches point "E" at 12:00pm.

So, Time taken by the man:-

T = 12:00 - 8:00

T = 4 hours.

$\large{\boxed{ \tt T = 4 \: hours}}$

$\rule{300}{1.5}$

Average speed = ?

Firstly finding the total distance travelled by the man.

$\large{\bold{ \tt Distance = AB + BC + CD + DE + AE}}$

Substituting the values,

$\large{ \tt D = 12 + 8 + 3 + 11 + 16}$

Now,

$\large{ \tt D = 36 + 14}$

$\large{\boxed{ \tt D = 50 \: Km}}$

As we know,

$\large{\bold{ \tt Average \: Speed = \dfrac{Total \: Distance \: Travelled}{Total \: Time \: Taken}}}$

Substituting the values,

$\large{ \tt A.S = \dfrac{50}{4}}$

$\large{ \tt A.S = \dfrac{\cancel{50}}{\cancel{4}}}$

It comes as,

$\huge{\boxed{\boxed{ \tt Average\: Speed = 12.5 \: Km/hr}}}$

$\rule{300}{1.5}$

$\rule{300}{1.5}$

Average velocity = ?.

Firstly finding the displacement of the man,

As From the definition of displacement,

Displacement:-

It is the shortest path between the initial and final positions of the body, and directed towards the final point.

So, here the shortest distance is "AE".

Therefore, Displacement is

$\large{\bold{ \tt Displacement = AE}}$

Now,

$\large{\boxed{ \tt D = 16 \: Km}}$

As we know,

$\large{\bold{\tt Average \: Velocity = \dfrac{Displacement}{Total \: Time}}}$

Substituting the values,

$\large{ \tt A.V = \dfrac{16}{4}}$

$\large{ \tt A.V = \dfrac{\cancel{16}}{\cancel{4}}}$

It comes as,

$\huge{\boxed{\boxed{ \tt Average \: velocity= 4 \: Km/hr}}}$

$\rule{300}{1.5}$

So, the average speed of the man is 12.5 km/hr.

and, The average velocity of the man is 4 Km/hr.

Note:-

• Remember average velocity is greater than or equal to Average speed.
• It (Average velocity)cannot be greater than Average speed