Question

3. If 20 men can build a wall 56 metres long in 6 days, what length of a similar wall can be built by 35
men in 3 days?
(a) 49 metres
(b) 36 metres
(c) 52 metres
(d) 42 metres​

Answer 1

Answer:

Hey beautiful your answer is as follows

Step-by-step explanation:

Wall built by 20 men in 6 days = 50

Wall built by 1 men in 1 day = $\frac{56}{20*6} = \frac{56}{120} = \frac{7}{15}$

Wall built by 35 men in 3 days =

$\frac{56*35*3}{120} \\\\= \frac{56*35}{40}\\\\=\frac{56*7}{8} \\\\=49$

Therefore 49 metres can be built in 3 days.

Mark as brainliest if you are satisfied with my answer.

Answer 2

Answer:-

Correct option (a) 49 m.

Note :-

• If two things are directly proportional to each other , then if one will increase then other will also increase . For ex - Cost of a object and number of objects . If we increase the number of goods the price of to total objects will also increase .

• If two things are inversely proportional to each other , then if one will increase then other will decrease . For ex - No. of workers and and no.of days . If we increase the number of workers then the number of days to complete the work will decrease and vice versa.

Explanation :-

Let the number of days be x to build a similar wall by 35 men in 3 days .

Given that , 20 men can build a wall 56 metres long in 6 days, This implies ,

$\sf=>\dfrac{35 men\:\times 3 days \:work}{20\:men\:\times 6 days \:work}=\dfrac{x \:m\:wall}{56m\:wall}\\\\\sf=> \dfrac{35\times20}{20\times 6}=\dfrac{x}{56m}\\\\\sf=> x =\dfrac{35\times3\times56m}{120}\\\\=>\bf x = 49$