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.
Answers
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:
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.