Question

The work done by (x - 3) men in (2x + 1) days and the work done by (2x+1) men in (x + 4) days are in the ratio of 3:10. Find the value of x. ​

Answer 1

Answer:

x = 6.

Step-by-step explanation:

Work done by ( x - 3 ) men in ( 2x + 1 ) days = ( x - 3 )( 2x + 1 )

Similarly, work done by ( 2x + 1 ) men in ( x + 4 ) days = ( x + 4 )( 2x + 1 )

Given,

Ratio of works = 3 : 10

= > ( x - 3 )( 2x + 1 ) / ( x + 4 )( 2x + 1 ) = 3 / 10

= > ( x - 3 ) / ( x + 4 ) = 3 / 10

= > 10( x - 3 ) = 3( x + 4 )

= > 10x - 30 = 3x + 12

= > 10x - 3x = 12 + 30

= > 7x = 42

= > x = 42 / 7

= > x = 6

Hence the required value of x is 6.

Answer 2

Answer:

Step-by-step explanation:

Given :-

Work done by (x - 3) men in (2x + 1) days

And the work done by (2x+1) men in (x + 4) days

Ratio of days = 3 : 10

To Find :-

The Value of x.

Solution :-

I men does work in (x - 3)(2x + 1) days

I men does the work in (2x+1)(x + 4) days

According to the Question,

Ratio of works = 3 : 10

⇒ (x - 3)(2x + 1)/(x + 4)(2x + 1) = 3/10

⇒ (x - 3)/(x + 4) = 3/10

⇒ 10(x - 3) = 3(x + 4)

⇒ 10x - 30 = 3x + 12

⇒ 10x - 3x = 12 + 30

⇒ 7x = 42

⇒ x = 42 / 7

⇒ x = 6

Hence the required value of x is 6.