Question

five men can build a wall in 12 days how many men can build it in 10days​

Answer 1

Answer:

Given, 5

men can build a wall in 12

days

We are asked to find the number of men needed to build the wall in 10

days.

Let x

men can build the wall in 10

days.

Let w

be the work done by one man in one day

Let W

be the total work done to build the wall.

If w

is the work done by one man in one day, then work done by 5

men in one day will be =5×w

5

men does 5×w

amount of work in one day, in 12

days amount of work done by 5

men will be =5×w×12

And it is given that in 12

days, 5

men can build the wall. Therefore work done by 5

men in 12

days will be equal to the total work. So, we can write

5×w×12=W

(i)

Similarly, the amount of work done by x

men in one day will be x×w

and in 10

days, the amount of work done by x

men will be =x×w×10

, which will be equal to the total work. So, we can write

x×w×10=W

(ii)

Now, equating equations (i) and (ii), we get

5×w×12=x×w×10

⇒5×12=x×10

⇒x=5×1210

⇒x=6010

⇒x=6men

Therefore, the number of men required to build the wall in 10

days is 6men

.

So, the correct answer is “6 Men”.