13. The work done by (x - 2) men in (4x + 1) days
and the work done by (4x + 1) men in
(2x - 3) days are in the ratio 3 : 8. Find the
value of x.
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Answer:
Step-by-step explanation:
Assuming that all the men do the same amount of work in one day and one day work of each
man = 1 units,
we have, Amount of work done by (x − 2) men in (4x + 1) days
= Amount of work done by (x − 2)(4x + 1) men in one day
= (x − 2)(4x + 1) units of work
Similarly,
Amount of work done by (4x + 1) men in (2x − 3) days
= (4x + 1)(2x − 3) units of work
According to the given information,
(x-2)(4x+1)/(4x+1)(2x-3)
x-2/2x-3 = 3/8
8x-16 = 6x-9
2x = 7
x = 7/2 = 3.5
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