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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.
Solution
(x - 3) men do a work in (2x + 1) day
∴ 1 man does it in (2x + 1) (x - 3) days
(2x + 1) men do a work in (x + 4) days
∴ 1 man does it in (x + 4) (2x + 1) days
∴ `((2x + 1) (x - 3))/((x + 4) (2x + 1)) = (3)/(10)`
`(x - 3)/(x + 4) = (3)/(10)`
10x - 30 = 3x + 12
10 -3x = 12 + 30
7x = 42
x = `(42)/(7)`
x = 6.
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