Question

a man who has to walk 11km finds that in 30 minutes he has travelled 2/9th of the remaining distance what is his speed​

Answer 1

Answer:

Step-by-step explanation:

desired distance= 11km

the man discovers that he has covered 2/9th of the total journey, so

2/9 = 30 min

11 = ? min

this way you can find the answer

Answer 2

His speed is 4 km/hr.

----------------------------------------------------------------------------------

Let's understand a few concepts:

To solve the given problem we will use the following formula:

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

-------------------------------------------------------------------------------

Let's solve the given problem:

Step 1:

Let's say that the remaining distance travelled by the man is "x" km.

So,

(2/9)th of the remaining distance will be = $\frac{2}{9} \times x = \frac{2x}{9} \: km$

Step 2:

The total distance the man has to walk = 11 km

Therefore, we can form an equation as,

[(2/9)th of remaining distance] + [remaining distance] = total distance = 11 km

$\implies \frac{2x}{9} + x = 11$

$\implies \frac{2x + 9x}{9} = 11$

$\implies \frac{11x}{9} = 11$

$\implies \frac{x}{9} = 1$

$\implies x = 1\times 9$

$\implies x = 9\:km$ ← remaining distance

Step 3:

The distance travelled by the man,

= $\frac{2}{9}^ ^t^h$of the remaining distance

= $\frac{2}{9}\times x$

= $\frac{2}{9} \times 9$

= $2\:km$

Step 4:

The time taken by the man to travel a distance of 2 km is

= 30 minutes

• $1\:minute = \frac{1}{60} \:hour$

= $30\times \frac{1}{60}\:hr$

= $\frac{1}{2} \:hr$

Step 5:

Therefore,

The speed of the man will be,

= $\frac{2\:km}{\frac{1}{2} \:hr}$

= $2\times 2\:km/hr$

= $\bold{4\:km/hr}$

Thus, the speed of the man is 4 km/hr.

--------------------------------------------------------------------------------------

Learn more from brainly.in:

brainly.in/question/49502591?msp_poc_exp=2

brainly.in/question/32167449?msp_poc_exp=2

#SPJ3